31617240572241 has 15 divisors (see below), whose sum is σ = 47230768303851. Its totient is φ = 21078126643968.

The previous prime is 31617240572213. The next prime is 31617240572243. The reversal of 31617240572241 is 14227504271613.

The square root of 31617240572241 is 5622921.

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

31617240572241 is a `hidden beast` number, since 3 + 1 + 6 + 1 + 72 + 4 + 0 + 572 + 2 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 186865133841 + 31430375438400 = 432279^2 + 5606280^2 .

It is not a de Polignac number, because 31617240572241 - 2²³ = 31617232183633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31617240572243) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 50293905 + ... + 50918673.

Almost surely, 2^{31617240572241} is an apocalyptic number.

31617240572241 is the 5622921-st square number.

31617240572241 is the 2811461-st centered octagonal number.

It is an amenable number.

31617240572241 is a deficient number, since it is larger than the sum of its proper divisors (15613527731610).

31617240572241 is an frugal number, since it uses more digits than its factorization.

31617240572241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249550 (or 624772 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 31617240572241 in words is "thirty-one trillion, six hundred seventeen billion, two hundred forty million, five hundred seventy-two thousand, two hundred forty-one".