31739082725025 has 243 divisors, whose sum is σ = 62288395886379. Its totient is φ = 15442049975040.

The previous prime is 31739082724981. The next prime is 31739082725029. The reversal of 31739082725025 is 52052728093713.

The square root of 31739082725025 is 5633745.

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

31739082725025 is a `hidden beast` number, since 31 + 7 + 39 + 0 + 8 + 2 + 72 + 502 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 17529771538449 + 14209311186576 = 4186857^2 + 3769524^2 .

It is not a de Polignac number, because 31739082725025 - 2¹³ = 31739082716833 is a prime.

It is a super-2 number, since 2×31739082725025² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31739082725029) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 183462905839 + ... + 183462906011.

Almost surely, 2^{31739082725025} is an apocalyptic number.

31739082725025 is the 5633745-th square number.

31739082725025 is the 2816873-rd centered octagonal number.

It is an amenable number.

31739082725025 is a deficient number, since it is larger than the sum of its proper divisors (30549313161354).

31739082725025 is a wasteful number, since it uses less digits than its factorization.

31739082725025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 31739082725025 in words is "thirty-one trillion, seven hundred thirty-nine billion, eighty-two million, seven hundred twenty-five thousand, twenty-five".