975355497657 has 80 divisors (see below), whose sum is σ = 1495815552000. Its totient is φ = 633075419520.

The previous prime is 975355497637. The next prime is 975355497659. The reversal of 975355497657 is 756794553579.

975355497657 is a `hidden beast` number, since 9 + 7 + 5 + 3 + 5 + 549 + 76 + 5 + 7 = 666.

It is not a de Polignac number, because 975355497657 - 2²⁴ = 975338720441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (975355497659) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 955293807 + ... + 955294827.

It is an arithmetic number, because the mean of its divisors is an integer number (18697694400).

Almost surely, 2^975355497657 is an apocalyptic number.

It is an amenable number.

975355497657 is a deficient number, since it is larger than the sum of its proper divisors (520460054343).

975355497657 is a wasteful number, since it uses less digits than its factorization.

975355497657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2139 counting only the distinct ones).

The product of its digits is 1250235000, while the sum is 72.

The spelling of 975355497657 in words is "nine hundred seventy-five billion, three hundred fifty-five million, four hundred ninety-seven thousand, six hundred fifty-seven".