657213264 has 50 divisors (see below), whose sum is σ = 1902169610. Its totient is φ = 219070656.

The previous prime is 657213257. The next prime is 657213269. The reversal of 657213264 is 462312756.

It can be written as a sum of positive squares in only one way, i.e., 337089600 + 320123664 = 18360^2 + 17892^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (657213269) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 252259 + ... + 254850.

Almost surely, 2^657213264 is an apocalyptic number.

It is an amenable number.

657213264 is an abundant number, since it is smaller than the sum of its proper divisors (1244956346).

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

657213264 is a wasteful number, since it uses less digits than its factorization.

657213264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507129 (or 507114 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 657213264 is about 25636.1710089475. The cubic root of 657213264 is about 869.4316382887.

The spelling of 657213264 in words is "six hundred fifty-seven million, two hundred thirteen thousand, two hundred sixty-four".