30513625164 has 144 divisors (see below), whose sum is σ = 87261108480. Its totient is φ = 8908859520.

The previous prime is 30513625141. The next prime is 30513625171. The reversal of 30513625164 is 46152631503.

30513625164 is a `hidden beast` number, since 3 + 0 + 5 + 13 + 625 + 16 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1499047 + ... + 1519265.

It is an arithmetic number, because the mean of its divisors is an integer number (605979920).

Almost surely, 2^30513625164 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 30513625164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43630554240).

30513625164 is an abundant number, since it is smaller than the sum of its proper divisors (56747483316).

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

30513625164 is a wasteful number, since it uses less digits than its factorization.

30513625164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20380 (or 20375 counting only the distinct ones).

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

The spelling of 30513625164 in words is "thirty billion, five hundred thirteen million, six hundred twenty-five thousand, one hundred sixty-four".