31953350025 has 81 divisors (see below), whose sum is σ = 60883475263. Its totient is φ = 16016448000.

The previous prime is 31953350003. The next prime is 31953350027. The reversal of 31953350025 is 52005335913.

It is a happy number.

The square root of 31953350025 is 178755.

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

31953350025 is a `hidden beast` number, since 31 + 95 + 33 + 500 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1610497161 + 30342852864 = 40131^2 + 174192^2 .

It is not a de Polignac number, because 31953350025 - 2¹⁷ = 31953218953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31953350027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 45582175 + ... + 45582875.

Almost surely, 2^31953350025 is an apocalyptic number.

31953350025 is the 178755-th square number.

31953350025 is the 89378-th centered octagonal number.

It is an amenable number.

31953350025 is a deficient number, since it is larger than the sum of its proper divisors (28930125238).

31953350025 is an equidigital number, since it uses as much as digits as its factorization.

31953350025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 36.

Multiplying 31953350025 by its sum of digits (36), we get a square (1150320600900 = 1072530²).

Adding to 31953350025 its reverse (52005335913), we get a palindrome (83958685938).

The spelling of 31953350025 in words is "thirty-one billion, nine hundred fifty-three million, three hundred fifty thousand, twenty-five".