330653750625 has 405 divisors, whose sum is σ = 714281957389. Its totient is φ = 147206400000.

The previous prime is 330653750599. The next prime is 330653750627. The reversal of 330653750625 is 526057356033.

The square root of 330653750625 is 575025.

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

330653750625 is a `hidden beast` number, since 3 + 3 + 0 + 6 + 537 + 50 + 62 + 5 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 239599481121 + 91054269504 = 489489^2 + 301752^2 .

It is not a de Polignac number, because 330653750625 - 2²³ = 330645362017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (330653750627) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 8064725605 + ... + 8064725645.

Almost surely, 2^330653750625 is an apocalyptic number.

330653750625 is the 575025-th square number.

330653750625 is the 287513-rd centered octagonal number.

It is an amenable number.

330653750625 is an abundant number, since it is smaller than the sum of its proper divisors (383628206764).

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

330653750625 is a wasteful number, since it uses less digits than its factorization.

330653750625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1701000, while the sum is 45.

The spelling of 330653750625 in words is "three hundred thirty billion, six hundred fifty-three million, seven hundred fifty thousand, six hundred twenty-five".