31352553225 has 144 divisors (see below), whose sum is σ = 69311635200. Its totient is φ = 13837944960.

The previous prime is 31352553203. The next prime is 31352553251. The reversal of 31352553225 is 52235525313.

31352553225 is a `hidden beast` number, since 31 + 3 + 52 + 553 + 2 + 25 = 666.

It is not a de Polignac number, because 31352553225 - 2¹⁵ = 31352520457 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31352553225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 942832 + ... + 975518.

It is an arithmetic number, because the mean of its divisors is an integer number (481330800).

Almost surely, 2^31352553225 is an apocalyptic number.

31352553225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

31352553225 is an abundant number, since it is smaller than the sum of its proper divisors (37959081975).

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

31352553225 is a wasteful number, since it uses less digits than its factorization.

31352553225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32749 (or 32731 counting only the distinct ones).

The product of its digits is 135000, while the sum is 36.

The spelling of 31352553225 in words is "thirty-one billion, three hundred fifty-two million, five hundred fifty-three thousand, two hundred twenty-five".