257157312 has 112 divisors (see below), whose sum is σ = 699516000. Its totient is φ = 83353600.

The previous prime is 257157311. The next prime is 257157353. The reversal of 257157312 is 213751752.

It is a happy number.

257157312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×257157312² = 132259766230130688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257157311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1725814 + ... + 1725962.

Almost surely, 2^257157312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257157312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349758000).

257157312 is an abundant number, since it is smaller than the sum of its proper divisors (442358688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257157312 is a wasteful number, since it uses less digits than its factorization.

257157312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 344 counting only the distinct ones).

The product of its digits is 14700, while the sum is 33.

The square root of 257157312 is about 16036.1252177700. The cubic root of 257157312 is about 635.9158149717.

The spelling of 257157312 in words is "two hundred fifty-seven million, one hundred fifty-seven thousand, three hundred twelve".