31623538557361 has 9 divisors (see below), whose sum is σ = 33593272270401. Its totient is φ = 29763240431232.

The previous prime is 31623538557313. The next prime is 31623538557367. The reversal of 31623538557361 is 16375583532613.

It is a happy number.

The square root of 31623538557361 is 5623481.

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 945233117361 + 30678305440000 = 972231^2 + 5538800^2 .

It is not a de Polignac number, because 31623538557361 - 2²⁹ = 31623001686449 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31623538557296 and 31623538557305.

It is not an unprimeable number, because it can be changed into a prime (31623538557367) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 95433781 + ... + 95764573.

Almost surely, 2^{31623538557361} is an apocalyptic number.

31623538557361 is the 5623481-st square number.

31623538557361 is the 2811741-st centered octagonal number.

It is an amenable number.

31623538557361 is a deficient number, since it is larger than the sum of its proper divisors (1969733713040).

31623538557361 is an frugal number, since it uses more digits than its factorization.

31623538557361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661620 (or 330810 counting only the distinct ones).

The product of its digits is 40824000, while the sum is 58.

The spelling of 31623538557361 in words is "thirty-one trillion, six hundred twenty-three billion, five hundred thirty-eight million, five hundred fifty-seven thousand, three hundred sixty-one".