31005927225 has 405 divisors, whose sum is σ = 74066807133. Its totient is φ = 12779544960.

The previous prime is 31005927203. The next prime is 31005927259. The reversal of 31005927225 is 52272950013.

The square root of 31005927225 is 176085.

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

31005927225 is a `hidden beast` number, since 310 + 0 + 59 + 272 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7991823609 + 23014103616 = 89397^2 + 151704^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 31005927225 - 2⁷ = 31005927097 is a prime.

It is a super-2 number, since 2×31005927225² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 31005927225.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 721068054 + ... + 721068096.

Almost surely, 2^31005927225 is an apocalyptic number.

31005927225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

31005927225 is the 176085-th square number.

31005927225 is the 88043-rd centered octagonal number.

It is an amenable number.

31005927225 is an abundant number, since it is smaller than the sum of its proper divisors (43060879908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31005927225 is a wasteful number, since it uses less digits than its factorization.

31005927225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

Multiplying 31005927225 by its sum of digits (36), we get a square (1116213380100 = 1056510²).

The spelling of 31005927225 in words is "thirty-one billion, five million, nine hundred twenty-seven thousand, two hundred twenty-five".