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513436013 = 3733741177
BaseRepresentation
bin11110100110100…
…110100101101101
31022210010020210122
4132212212211231
52022414423023
6122540414325
715503063666
oct3646464555
91283106718
10513436013
11243904092
12123b473a5
13824aa8bc
144c29236d
153011e2c8
hex1e9a696d

513436013 has 8 divisors (see below), whose sum is σ = 528890232. Its totient is φ = 498064896.

The previous prime is 513436009. The next prime is 513436019. The reversal of 513436013 is 310634315.

It can be written as a sum of positive squares in 4 ways, for example, as 67930564 + 445505449 = 8242^2 + 21107^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 513436013 - 22 = 513436009 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513436019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8120 + ... + 33057.

It is an arithmetic number, because the mean of its divisors is an integer number (66111279).

Almost surely, 2513436013 is an apocalyptic number.

It is an amenable number.

513436013 is a deficient number, since it is larger than the sum of its proper divisors (15454219).

513436013 is a wasteful number, since it uses less digits than its factorization.

513436013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41551.

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 513436013 is about 22659.1264836048. The cubic root of 513436013 is about 800.7472252882.

The spelling of 513436013 in words is "five hundred thirteen million, four hundred thirty-six thousand, thirteen".

Divisors: 1 37 337 12469 41177 1523549 13876649 513436013