31715492985801 has 45 divisors (see below), whose sum is σ = 47573538053943. Its totient is φ = 21056517822960.

The previous prime is 31715492985677. The next prime is 31715492985859. The reversal of 31715492985801 is 10858929451713.

The square root of 31715492985801 is 5631651.

It is a perfect power (a square), and thus also a powerful number.

31715492985801 is a `hidden beast` number, since 3 + 1 + 7 + 1 + 5 + 49 + 2 + 9 + 8 + 580 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26459203110201 + 5256289875600 = 5143851^2 + 2292660^2 .

It is not a de Polignac number, because 31715492985801 - 2⁹ = 31715492985289 is a prime.

It is a super-2 number, since 2×31715492985801² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31715492965801) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13735595635 + ... + 13735597943.

Almost surely, 2^{31715492985801} is an apocalyptic number.

31715492985801 is the 5631651-st square number.

31715492985801 is the 2815826-th centered octagonal number.

It is an amenable number.

31715492985801 is a deficient number, since it is larger than the sum of its proper divisors (15858045068142).

31715492985801 is an frugal number, since it uses more digits than its factorization.

31715492985801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5172 (or 2583 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 31715492985801 in words is "thirty-one trillion, seven hundred fifteen billion, four hundred ninety-two million, nine hundred eighty-five thousand, eight hundred one".