257073225 has 24 divisors (see below), whose sum is σ = 436519680. Its totient is φ = 133398720.

The previous prime is 257073217. The next prime is 257073227. The reversal of 257073225 is 522370752.

It is not a de Polignac number, because 257073225 - 2³ = 257073217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257073227) 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, 43545 + ... + 49094.

It is an arithmetic number, because the mean of its divisors is an integer number (18188320).

Almost surely, 2^257073225 is an apocalyptic number.

257073225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257073225 is a deficient number, since it is larger than the sum of its proper divisors (179446455).

257073225 is a wasteful number, since it uses less digits than its factorization.

257073225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92689 (or 92684 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 33.

The square root of 257073225 is about 16033.5032042283. The cubic root of 257073225 is about 635.8464954282.

The spelling of 257073225 in words is "two hundred fifty-seven million, seventy-three thousand, two hundred twenty-five".