257525705053 has 8 divisors (see below), whose sum is σ = 258430131288. Its totient is φ = 256621452864.

The previous prime is 257525705033. The next prime is 257525705057. The reversal of 257525705053 is 350507525752.

It can be written as a sum of positive squares in 4 ways, for example, as 87073976889 + 170451728164 = 295083^2 + 412858^2 .

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 257525705053 - 2²⁵ = 257492150621 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 257525704994 and 257525705012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257525705057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3395575 + ... + 3470587.

It is an arithmetic number, because the mean of its divisors is an integer number (32303766411).

Almost surely, 2^257525705053 is an apocalyptic number.

It is an amenable number.

257525705053 is a deficient number, since it is larger than the sum of its proper divisors (904426235).

257525705053 is a wasteful number, since it uses less digits than its factorization.

257525705053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87023.

The product of its (nonzero) digits is 1837500, while the sum is 46.

It can be divided in two parts, 257525 and 705053, that added together give a triangular number (962578 = T₁₃₈₇).

The spelling of 257525705053 in words is "two hundred fifty-seven billion, five hundred twenty-five million, seven hundred five thousand, fifty-three".