34967130025 has 27 divisors (see below), whose sum is σ = 43826801893. Its totient is φ = 27675260000.

The previous prime is 34967130001. The next prime is 34967130031. The reversal of 34967130025 is 52003176943.

It is a happy number.

The square root of 34967130025 is 186995.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10436052649 + 24531077376 = 102157^2 + 156624^2 .

It is not a de Polignac number, because 34967130025 - 2²¹ = 34965032873 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34967130025.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 139311150 + ... + 139311400.

Almost surely, 2^34967130025 is an apocalyptic number.

34967130025 is the 186995-th square number.

34967130025 is the 93498-th centered octagonal number.

It is an amenable number.

34967130025 is a deficient number, since it is larger than the sum of its proper divisors (8859671868).

34967130025 is an frugal number, since it uses more digits than its factorization.

34967130025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The spelling of 34967130025 in words is "thirty-four billion, nine hundred sixty-seven million, one hundred thirty thousand, twenty-five".