31630266801 has 63 divisors (see below), whose sum is σ = 55225039323. Its totient is φ = 18055230480.

The previous prime is 31630266791. The next prime is 31630266817. The reversal of 31630266801 is 10866203613.

The square root of 31630266801 is 177849.

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

31630266801 is a `hidden beast` number, since 316 + 3 + 0 + 266 + 80 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19613722401 + 12016544400 = 140049^2 + 109620^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 31630266801 - 2⁵ = 31630266769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31630266821) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 33612991 + ... + 33613931.

Almost surely, 2^31630266801 is an apocalyptic number.

31630266801 is the 177849-th square number.

31630266801 is the 88925-th centered octagonal number.

It is an amenable number.

31630266801 is a deficient number, since it is larger than the sum of its proper divisors (23594772522).

31630266801 is an frugal number, since it uses more digits than its factorization.

31630266801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Multiplying 31630266801 by its sum of digits (36), we get a square (1138689604836 = 1067094²).

The spelling of 31630266801 in words is "thirty-one billion, six hundred thirty million, two hundred sixty-six thousand, eight hundred one".