3301579850625 has 135 divisors (see below), whose sum is σ = 6934225183743. Its totient is φ = 1508857560000.

The previous prime is 3301579850549. The next prime is 3301579850671. The reversal of 3301579850625 is 5260589751033.

The square root of 3301579850625 is 1817025.

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

3301579850625 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 5 + 7 + 9 + 8 + 5 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 3199208008689 + 102371841936 = 1788633^2 + 319956^2 .

It is not a de Polignac number, because 3301579850625 - 2²⁵ = 3301546296193 is a prime.

It is a Curzon 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, 953936395 + ... + 953939855.

Almost surely, 2^{3301579850625} is an apocalyptic number.

3301579850625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3301579850625 is the 1817025-th square number.

3301579850625 is the 908513-rd centered octagonal number.

It is an amenable number.

3301579850625 is an abundant number, since it is smaller than the sum of its proper divisors (3632645333118).

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

3301579850625 is an frugal number, since it uses more digits than its factorization.

3301579850625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6962 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 3301579850625 in words is "three trillion, three hundred one billion, five hundred seventy-nine million, eight hundred fifty thousand, six hundred twenty-five".