31009449025 has 27 divisors (see below), whose sum is σ = 39458373033. Its totient is φ = 24174321600.

The previous prime is 31009449007. The next prime is 31009449041. The reversal of 31009449025 is 52094490013.

The square root of 31009449025 is 176095.

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 13052377009 + 17957072016 = 114247^2 + 134004^2 .

It is not a de Polignac number, because 31009449025 - 2⁵ = 31009448993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36099046 + ... + 36099904.

Almost surely, 2^31009449025 is an apocalyptic number.

31009449025 is the 176095-th square number.

31009449025 is the 88048-th centered octagonal number.

It is an amenable number.

31009449025 is a deficient number, since it is larger than the sum of its proper divisors (8448924008).

31009449025 is an frugal number, since it uses more digits than its factorization.

31009449025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 31009449025 in words is "thirty-one billion, nine million, four hundred forty-nine thousand, twenty-five".