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5210770125 = 353113734141
BaseRepresentation
bin1001101101001011…
…00000101011001101
3111110010222112211010
410312211200223031
541132424121000
62221020515433
7243061546431
oct46645405315
914403875733
105210770125
1122343867a0
1210150abb79
13650717142
143760889c1
152076dbd50
hex136960acd

5210770125 has 64 divisors (see below), whose sum is σ = 9714901248. Its totient is φ = 2458080000.

The previous prime is 5210770111. The next prime is 5210770127.

5210770125 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5210770125 - 24 = 5210770109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5210770092 and 5210770101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5210770127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135555 + ... + 169695.

It is an arithmetic number, because the mean of its divisors is an integer number (151795332).

Almost surely, 25210770125 is an apocalyptic number.

5210770125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5210770125 is a deficient number, since it is larger than the sum of its proper divisors (4504131123).

5210770125 is a wasteful number, since it uses less digits than its factorization.

5210770125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34207 (or 34197 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 30.

The square root of 5210770125 is about 72185.6642623728. The cubic root of 5210770125 is about 1733.6734760440.

The spelling of 5210770125 in words is "five billion, two hundred ten million, seven hundred seventy thousand, one hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 37 55 75 111 125 165 185 275 375 407 555 825 925 1221 1375 2035 2775 4125 4625 6105 10175 13875 30525 34141 50875 102423 152625 170705 375551 512115 853525 1126653 1263217 1877755 2560575 3789651 4267625 5633265 6316085 9388775 12802875 13895387 18948255 28166325 31580425 41686161 46943875 69476935 94741275 140831625 157902125 208430805 347384675 473706375 1042154025 1736923375 5210770125