257361312 has 144 divisors (see below), whose sum is σ = 758147040. Its totient is φ = 76317696.

The previous prime is 257361301. The next prime is 257361343. The reversal of 257361312 is 213163752.

It is a super-2 number, since 2×257361312² = 132469689828722688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 257361312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 470223 + ... + 470769.

It is an arithmetic number, because the mean of its divisors is an integer number (5264910).

Almost surely, 2^257361312 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 257361312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379073520).

257361312 is an abundant number, since it is smaller than the sum of its proper divisors (500785728).

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

257361312 is a wasteful number, since it uses less digits than its factorization.

257361312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 594 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 257361312 is about 16042.4845955980. The cubic root of 257361312 is about 636.0839254780.

Subtracting from 257361312 its product of digits (7560), we obtain a palindrome (257353752).

The spelling of 257361312 in words is "two hundred fifty-seven million, three hundred sixty-one thousand, three hundred twelve".