257322516 has 48 divisors (see below), whose sum is σ = 656667648. Its totient is φ = 77778400.

The previous prime is 257322511. The next prime is 257322517. The reversal of 257322516 is 615223752.

257322516 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257322511) 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, 54631 + ... + 59153.

It is an arithmetic number, because the mean of its divisors is an integer number (13680576).

Almost surely, 2^257322516 is an apocalyptic number.

It is an amenable number.

257322516 is an abundant number, since it is smaller than the sum of its proper divisors (399345132).

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

257322516 is a wasteful number, since it uses less digits than its factorization.

257322516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4972 (or 4970 counting only the distinct ones).

The product of its digits is 25200, while the sum is 33.

The square root of 257322516 is about 16041.2753857042. The cubic root of 257322516 is about 636.0519616578.

The spelling of 257322516 in words is "two hundred fifty-seven million, three hundred twenty-two thousand, five hundred sixteen".