386293325625 has 45 divisors (see below), whose sum is σ = 697335016521. Its totient is φ = 205998246000.

The previous prime is 386293325581. The next prime is 386293325657. The reversal of 386293325625 is 526523392683.

The square root of 386293325625 is 621525.

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

386293325625 is a `hidden beast` number, since 3 + 8 + 6 + 2 + 9 + 3 + 3 + 2 + 5 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30285396729 + 356007928896 = 174027^2 + 596664^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 386293325625 - 2⁷ = 386293325497 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 46610232 + ... + 46618518.

Almost surely, 2^386293325625 is an apocalyptic number.

386293325625 is the 621525-th square number.

386293325625 is the 310763-rd centered octagonal number.

It is an amenable number.

386293325625 is a deficient number, since it is larger than the sum of its proper divisors (311041690896).

386293325625 is an frugal number, since it uses more digits than its factorization.

386293325625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16600 (or 8295 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

The spelling of 386293325625 in words is "three hundred eighty-six billion, two hundred ninety-three million, three hundred twenty-five thousand, six hundred twenty-five".