31435477360225 has 9 divisors (see below), whose sum is σ = 38980026688467. Its totient is φ = 25148359461240.

The previous prime is 31435477360213. The next prime is 31435477360229. The reversal of 31435477360225 is 52206377453413.

The square root of 31435477360225 is 5606735.

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., 11316771849681 + 20118705510544 = 3364041^2 + 4485388^2 .

It is not a de Polignac number, because 31435477360225 - 2⁵ = 31435477360193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31435477360229) 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, 27473002 + ... + 28594348.

Almost surely, 2^{31435477360225} is an apocalyptic number.

31435477360225 is the 5606735-th square number.

31435477360225 is the 2803368-th centered octagonal number.

It is an amenable number.

31435477360225 is a deficient number, since it is larger than the sum of its proper divisors (7544549328242).

31435477360225 is an frugal number, since it uses more digits than its factorization.

31435477360225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242704 (or 1121352 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 52.

The spelling of 31435477360225 in words is "thirty-one trillion, four hundred thirty-five billion, four hundred seventy-seven million, three hundred sixty thousand, two hundred twenty-five".