657553530431 has 64 divisors (see below), whose sum is σ = 803375677440. Its totient is φ = 525722400000.

The previous prime is 657553530427. The next prime is 657553530433. The reversal of 657553530431 is 134035355756.

It is not a de Polignac number, because 657553530431 - 2² = 657553530427 is a prime.

It is a super-2 number, since 2×657553530431² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (657553530433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1791698810 + ... + 1791699176.

It is an arithmetic number, because the mean of its divisors is an integer number (12552744960).

Almost surely, 2^657553530431 is an apocalyptic number.

657553530431 is a deficient number, since it is larger than the sum of its proper divisors (145822147009).

657553530431 is a wasteful number, since it uses less digits than its factorization.

657553530431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116.

The product of its (nonzero) digits is 2835000, while the sum is 47.

The spelling of 657553530431 in words is "six hundred fifty-seven billion, five hundred fifty-three million, five hundred thirty thousand, four hundred thirty-one".