257682225 has 24 divisors (see below), whose sum is σ = 444560832. Its totient is φ = 131454400.

The previous prime is 257682221. The next prime is 257682251. The reversal of 257682225 is 522286752.

It is not a de Polignac number, because 257682225 - 2² = 257682221 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (257682221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72966 + ... + 76415.

It is an arithmetic number, because the mean of its divisors is an integer number (18523368).

Almost surely, 2^257682225 is an apocalyptic number.

257682225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257682225 is a deficient number, since it is larger than the sum of its proper divisors (186878607).

257682225 is a wasteful number, since it uses less digits than its factorization.

257682225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149417 (or 149412 counting only the distinct ones).

The product of its digits is 134400, while the sum is 39.

The square root of 257682225 is about 16052.4834527247. The cubic root of 257682225 is about 636.3482009088.

The spelling of 257682225 in words is "two hundred fifty-seven million, six hundred eighty-two thousand, two hundred twenty-five".