382025590025 has 12 divisors (see below), whose sum is σ = 474544283100. Its totient is φ = 305083342080.

The previous prime is 382025590013. The next prime is 382025590069. The reversal of 382025590025 is 520095520283.

It can be written as a sum of positive squares in 6 ways, for example, as 877403641 + 381148186384 = 29621^2 + 617372^2 .

It is not a de Polignac number, because 382025590025 - 2¹⁸ = 382025327881 is a prime.

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, 13413740 + ... + 13442189.

It is an arithmetic number, because the mean of its divisors is an integer number (39545356925).

Almost surely, 2^382025590025 is an apocalyptic number.

It is an amenable number.

382025590025 is a deficient number, since it is larger than the sum of its proper divisors (92518693075).

382025590025 is a wasteful number, since it uses less digits than its factorization.

382025590025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26856508 (or 26856503 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 41.

The spelling of 382025590025 in words is "three hundred eighty-two billion, twenty-five million, five hundred ninety thousand, twenty-five".