31495116426601 has 27 divisors (see below), whose sum is σ = 32767439685253. Its totient is φ = 30270954129920.

The previous prime is 31495116426589. The next prime is 31495116426617. The reversal of 31495116426601 is 10662461159413.

It is a happy number.

The square root of 31495116426601 is 5612051.

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

It can be written as a sum of positive squares in 4 ways, for example, as 582628416601 + 30912488010000 = 763301^2 + 5559900^2 .

It is a de Polignac number, because none of the positive numbers 2^k-31495116426601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31495116427601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 70145025225 + ... + 70145025673.

Almost surely, 2^{31495116426601} is an apocalyptic number.

31495116426601 is the 5612051-st square number.

31495116426601 is the 2806026-th centered octagonal number.

It is an amenable number.

31495116426601 is a deficient number, since it is larger than the sum of its proper divisors (1272323258652).

31495116426601 is an frugal number, since it uses more digits than its factorization.

31495116426601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The spelling of 31495116426601 in words is "thirty-one trillion, four hundred ninety-five billion, one hundred sixteen million, four hundred twenty-six thousand, six hundred one".