31735641025 has 81 divisors (see below), whose sum is σ = 44903935209. Its totient is φ = 22232496000.

The previous prime is 31735641023. The next prime is 31735641031. The reversal of 31735641025 is 52014653713.

The square root of 31735641025 is 178145.

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 13358042929 + 18377598096 = 115577^2 + 135564^2 .

It is not a de Polignac number, because 31735641025 - 2¹ = 31735641023 is a prime.

It is a super-3 number, since 3×31735641025³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31735641023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 401716936 + ... + 401717014.

Almost surely, 2^31735641025 is an apocalyptic number.

31735641025 is the 178145-th square number.

31735641025 is the 89073-rd centered octagonal number.

It is an amenable number.

31735641025 is a deficient number, since it is larger than the sum of its proper divisors (13168294184).

31735641025 is an equidigital number, since it uses as much as digits as its factorization.

31735641025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The spelling of 31735641025 in words is "thirty-one billion, seven hundred thirty-five million, six hundred forty-one thousand, twenty-five".