30816047025 has 135 divisors (see below), whose sum is σ = 59033466811. Its totient is φ = 15891737760.

The previous prime is 30816046993. The next prime is 30816047089. The reversal of 30816047025 is 52074061803.

The square root of 30816047025 is 175545.

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

30816047025 is a `hidden beast` number, since 3 + 0 + 8 + 160 + 470 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11093776929 + 19722270096 = 105327^2 + 140436^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 30816047025 - 2⁵ = 30816046993 is a prime.

It is a super-2 number, since 2×30816047025² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 371277634 + ... + 371277716.

Almost surely, 2^30816047025 is an apocalyptic number.

30816047025 is the 175545-th square number.

30816047025 is the 87773-rd centered octagonal number.

It is an amenable number.

30816047025 is a deficient number, since it is larger than the sum of its proper divisors (28217419786).

30816047025 is an frugal number, since it uses more digits than its factorization.

30816047025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 30816047025 by its sum of digits (36), we get a square (1109377692900 = 1053270²).

The spelling of 30816047025 in words is "thirty billion, eight hundred sixteen million, forty-seven thousand, twenty-five".