30981251952 has 540 divisors, whose sum is σ = 110594338920. Its totient is φ = 8359448832.

The previous prime is 30981251929. The next prime is 30981251953. The reversal of 30981251952 is 25915218903.

30981251952 is a `hidden beast` number, since 3 + 0 + 9 + 81 + 2 + 519 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30981251898 and 30981251907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30981251953) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 97732498 + ... + 97732814.

Almost surely, 2^30981251952 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 30981251952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55297169460).

30981251952 is an abundant number, since it is smaller than the sum of its proper divisors (79613086968).

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

30981251952 is an equidigital number, since it uses as much as digits as its factorization.

30981251952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 30981251952 in words is "thirty billion, nine hundred eighty-one million, two hundred fifty-one thousand, nine hundred fifty-two".