382577825825 has 12 divisors (see below), whose sum is σ = 510888543228. Its totient is φ = 282519009600.

The previous prime is 382577825789. The next prime is 382577825837. The reversal of 382577825825 is 528528775283.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 60590807104 + 321987018721 = 246152^2 + 567439^2 .

It is not a de Polignac number, because 382577825825 - 2¹² = 382577821729 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 588580946 + ... + 588581595.

It is an arithmetic number, because the mean of its divisors is an integer number (42574045269).

Almost surely, 2^382577825825 is an apocalyptic number.

It is an amenable number.

382577825825 is a deficient number, since it is larger than the sum of its proper divisors (128310717403).

382577825825 is a wasteful number, since it uses less digits than its factorization.

382577825825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177162564 (or 1177162559 counting only the distinct ones).

The product of its digits is 75264000, while the sum is 62.

The spelling of 382577825825 in words is "three hundred eighty-two billion, five hundred seventy-seven million, eight hundred twenty-five thousand, eight hundred twenty-five".