2979507515625 has 63 divisors (see below), whose sum is σ = 5380766457339. Its totient is φ = 1588725450000.

The previous prime is 2979507515591. The next prime is 2979507515639. The reversal of 2979507515625 is 5265157059792.

The square root of 2979507515625 is 1726125.

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

2979507515625 is a `hidden beast` number, since 2 + 9 + 7 + 9 + 50 + 7 + 515 + 62 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2610334616409 + 369172899216 = 1615653^2 + 607596^2 .

It is not a de Polignac number, because 2979507515625 - 2²⁵ = 2979473961193 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 647294574 + ... + 647299176.

Almost surely, 2^{2979507515625} is an apocalyptic number.

2979507515625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2979507515625 is the 1726125-th square number.

2979507515625 is the 863063-rd centered octagonal number.

It is an amenable number.

2979507515625 is a deficient number, since it is larger than the sum of its proper divisors (2401258941714).

2979507515625 is an frugal number, since it uses more digits than its factorization.

2979507515625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9242 (or 4611 counting only the distinct ones).

The product of its (nonzero) digits is 59535000, while the sum is 63.

The spelling of 2979507515625 in words is "two trillion, nine hundred seventy-nine billion, five hundred seven million, five hundred fifteen thousand, six hundred twenty-five".