257207525 has 24 divisors (see below), whose sum is σ = 332289000. Its totient is φ = 197254400.

The previous prime is 257207513. The next prime is 257207539. The reversal of 257207525 is 525702752.

It can be written as a sum of positive squares in 12 ways, for example, as 208109476 + 49098049 = 14426^2 + 7007^2 .

It is not a de Polignac number, because 257207525 - 2¹⁴ = 257191141 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106835 + ... + 109215.

It is an arithmetic number, because the mean of its divisors is an integer number (13845375).

Almost surely, 2^257207525 is an apocalyptic number.

257207525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257207525 is a deficient number, since it is larger than the sum of its proper divisors (75081475).

257207525 is a wasteful number, since it uses less digits than its factorization.

257207525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 35.

The square root of 257207525 is about 16037.6907627002. The cubic root of 257207525 is about 635.9572023006.

The spelling of 257207525 in words is "two hundred fifty-seven million, two hundred seven thousand, five hundred twenty-five".