31483870880401 has 27 divisors (see below), whose sum is σ = 32382595871451. Its totient is φ = 30609933165504.

The previous prime is 31483870880281. The next prime is 31483870880417. The reversal of 31483870880401 is 10408807838413.

The square root of 31483870880401 is 5611049.

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

It can be written as a sum of positive squares in only one way, i.e., 9663387742801 + 21820483137600 = 3108599^2 + 4671240^2 .

It is not a de Polignac number, because 31483870880401 - 2²⁹ = 31483334009489 is a prime.

It is a super-2 number, since 2×31483870880401² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31483870880471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31203042985 + ... + 31203043993.

Almost surely, 2^{31483870880401} is an apocalyptic number.

31483870880401 is the 5611049-th square number.

31483870880401 is the 2805525-th centered octagonal number.

It is an amenable number.

31483870880401 is a deficient number, since it is larger than the sum of its proper divisors (898724991050).

31483870880401 is an frugal number, since it uses more digits than its factorization.

31483870880401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 55.

The spelling of 31483870880401 in words is "thirty-one trillion, four hundred eighty-three billion, eight hundred seventy million, eight hundred eighty thousand, four hundred one".