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253202521 = 11136129027
BaseRepresentation
bin11110001011110…
…01000001011001
3122122110000120011
433011321001121
51004304440041
641043001521
76163120525
oct1705710131
9578400504
10253202521
1111aa20890
12709692a1
13405c42a0
14258b0d85
1517367e81
hexf179059

253202521 has 16 divisors (see below), whose sum is σ = 302355648. Its totient is φ = 208987200.

The previous prime is 253202497. The next prime is 253202549. The reversal of 253202521 is 125202352.

253202521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 253202521 - 211 = 253200473 is a prime.

It is a super-2 number, since 2×2532025212 = 128223033281510882, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 253202492 and 253202501.

It is not an unprimeable number, because it can be changed into a prime (253202021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5791 + ... + 23236.

It is an arithmetic number, because the mean of its divisors is an integer number (18897228).

Almost surely, 2253202521 is an apocalyptic number.

It is an amenable number.

253202521 is a deficient number, since it is larger than the sum of its proper divisors (49153127).

253202521 is a wasteful number, since it uses less digits than its factorization.

253202521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29112.

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 253202521 is about 15912.3386401874. The cubic root of 253202521 is about 632.6390689221.

Adding to 253202521 its reverse (125202352), we get a palindrome (378404873).

The spelling of 253202521 in words is "two hundred fifty-three million, two hundred two thousand, five hundred twenty-one".

Divisors: 1 11 13 61 143 671 793 8723 29027 319297 377351 1770647 4150861 19477117 23018411 253202521