30745971459025 has 27 divisors (see below), whose sum is σ = 38211731697811. Its totient is φ = 24540951063680.

The previous prime is 30745971459019. The next prime is 30745971459029. The reversal of 30745971459025 is 52095417954703.

The square root of 30745971459025 is 5544905.

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

It can be written as a sum of positive squares in 13 ways, for example, as 20812783782609 + 9933187676416 = 4562103^2 + 3151696^2 .

It is not a de Polignac number, because 30745971459025 - 2²⁷ = 30745837241297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30745971459029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15775253751 + ... + 15775255699.

Almost surely, 2^{30745971459025} is an apocalyptic number.

30745971459025 is the 5544905-th square number.

30745971459025 is the 2772453-rd centered octagonal number.

It is an amenable number.

30745971459025 is a deficient number, since it is larger than the sum of its proper divisors (7465760238786).

30745971459025 is an frugal number, since it uses more digits than its factorization.

30745971459025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5046 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 47628000, while the sum is 61.

The spelling of 30745971459025 in words is "thirty trillion, seven hundred forty-five billion, nine hundred seventy-one million, four hundred fifty-nine thousand, twenty-five".