30879275625 has 225 divisors, whose sum is σ = 64263420529. Its totient is φ = 14760900000.

The previous prime is 30879275611. The next prime is 30879275639. The reversal of 30879275625 is 52657297803.

The square root of 30879275625 is 175725.

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

30879275625 is a `hidden beast` number, since 3 + 0 + 8 + 7 + 9 + 2 + 7 + 5 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (30879275611) and next prime (30879275639).

It can be written as a sum of positive squares in 2 ways, for example, as 2420935209 + 28458340416 = 49203^2 + 168696^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 30879275625 - 2¹⁷ = 30879144553 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 434919340 + ... + 434919410.

Almost surely, 2^30879275625 is an apocalyptic number.

30879275625 is the 175725-th square number.

30879275625 is the 87863-rd centered octagonal number.

It is an amenable number.

30879275625 is an abundant number, since it is smaller than the sum of its proper divisors (33384144904).

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

30879275625 is an frugal number, since it uses more digits than its factorization.

30879275625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 30879275625 in words is "thirty billion, eight hundred seventy-nine million, two hundred seventy-five thousand, six hundred twenty-five".