861325317657 has 160 divisors (see below), whose sum is σ = 1521428832000. Its totient is φ = 475401830400.

The previous prime is 861325317649. The next prime is 861325317673. The reversal of 861325317657 is 756713523168.

861325317657 is a `hidden beast` number, since 8 + 6 + 1 + 32 + 531 + 76 + 5 + 7 = 666.

861325317657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 861325317657 - 2³ = 861325317649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (861325317647) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1868384407 + ... + 1868384867.

It is an arithmetic number, because the mean of its divisors is an integer number (9508930200).

Almost surely, 2^861325317657 is an apocalyptic number.

It is an amenable number.

861325317657 is a deficient number, since it is larger than the sum of its proper divisors (660103514343).

861325317657 is a wasteful number, since it uses less digits than its factorization.

861325317657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1140 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 861325317657 in words is "eight hundred sixty-one billion, three hundred twenty-five million, three hundred seventeen thousand, six hundred fifty-seven".