657264961 has 8 divisors (see below), whose sum is σ = 683352000. Its totient is φ = 631406160.

The previous prime is 657264913. The next prime is 657264977. The reversal of 657264961 is 169462756.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 657264961 - 2⁷ = 657264833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (657664961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51175 + ... + 62716.

It is an arithmetic number, because the mean of its divisors is an integer number (85419000).

Almost surely, 2^657264961 is an apocalyptic number.

It is an amenable number.

657264961 is a deficient number, since it is larger than the sum of its proper divisors (26087039).

657264961 is a wasteful number, since it uses less digits than its factorization.

657264961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114119.

The product of its digits is 544320, while the sum is 46.

The square root of 657264961 is about 25637.1792715189. The cubic root of 657264961 is about 869.4544344552.

The spelling of 657264961 in words is "six hundred fifty-seven million, two hundred sixty-four thousand, nine hundred sixty-one".