30531202902252 has 480 divisors, whose sum is σ = 92023460686080. Its totient is φ = 8748341521920.

The previous prime is 30531202902229. The next prime is 30531202902257. The reversal of 30531202902252 is 25220920213503.

30531202902252 is a `hidden beast` number, since 3 + 0 + 5 + 312 + 0 + 2 + 90 + 2 + 252 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30531202902257) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2632675318 + ... + 2632686914.

It is an arithmetic number, because the mean of its divisors is an integer number (191715543096).

Almost surely, 2^{30531202902252} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30531202902252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46011730343040).

30531202902252 is an abundant number, since it is smaller than the sum of its proper divisors (61492257783828).

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

30531202902252 is a wasteful number, since it uses less digits than its factorization.

30531202902252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12203 (or 12192 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 30531202902252 in words is "thirty trillion, five hundred thirty-one billion, two hundred two million, nine hundred two thousand, two hundred fifty-two".