257363625 has 32 divisors (see below), whose sum is σ = 429316992. Its totient is φ = 136920000.

The previous prime is 257363621. The next prime is 257363651. The reversal of 257363625 is 526363752.

It is not a de Polignac number, because 257363625 - 2² = 257363621 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (257363621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244350 + ... + 245400.

It is an arithmetic number, because the mean of its divisors is an integer number (13416156).

Almost surely, 2^257363625 is an apocalyptic number.

257363625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257363625 is a deficient number, since it is larger than the sum of its proper divisors (171953367).

257363625 is a wasteful number, since it uses less digits than its factorization.

257363625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722 (or 1712 counting only the distinct ones).

The product of its digits is 226800, while the sum is 39.

The square root of 257363625 is about 16042.5566852668. The cubic root of 257363625 is about 636.0858310450.

The spelling of 257363625 in words is "two hundred fifty-seven million, three hundred sixty-three thousand, six hundred twenty-five".