257713225 has 24 divisors (see below), whose sum is σ = 398420928. Its totient is φ = 160651200.

The previous prime is 257713223. The next prime is 257713237. The reversal of 257713225 is 522317752.

257713225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 257713225 - 2¹ = 257713223 is a prime.

It is a super-2 number, since 2×257713225² = 132832212679801250, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257713223) 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, 65014 + ... + 68863.

It is an arithmetic number, because the mean of its divisors is an integer number (16600872).

Almost surely, 2^257713225 is an apocalyptic number.

257713225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257713225 is a deficient number, since it is larger than the sum of its proper divisors (140707703).

257713225 is a wasteful number, since it uses less digits than its factorization.

257713225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133905 (or 133900 counting only the distinct ones).

The product of its digits is 29400, while the sum is 34.

The square root of 257713225 is about 16053.4490063662. The cubic root of 257713225 is about 636.3737181303.

The spelling of 257713225 in words is "two hundred fifty-seven million, seven hundred thirteen thousand, two hundred twenty-five".