31539467232001 has 27 divisors (see below), whose sum is σ = 35362066638819. Its totient is φ = 28120260495168.

The previous prime is 31539467231941. The next prime is 31539467232061. The reversal of 31539467232001 is 10023276493513.

The square root of 31539467232001 is 5616001.

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

It is an interprime number because it is at equal distance from previous prime (31539467231941) and next prime (31539467232061).

It can be written as a sum of positive squares in only one way, i.e., 24554948537025 + 6984518694976 = 4955295^2 + 2642824^2 .

It is not a de Polignac number, because 31539467232001 - 2¹³ = 31539467223809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31539467232061) 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, 1813959630 + ... + 1813977016.

Almost surely, 2^{31539467232001} is an apocalyptic number.

31539467232001 is the 5616001-st square number.

31539467232001 is the 2808001-st centered octagonal number.

It is an amenable number.

31539467232001 is a deficient number, since it is larger than the sum of its proper divisors (3822599406818).

31539467232001 is an frugal number, since it uses more digits than its factorization.

31539467232001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34846 (or 17423 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 46.

The spelling of 31539467232001 in words is "thirty-one trillion, five hundred thirty-nine billion, four hundred sixty-seven million, two hundred thirty-two thousand, one".