825128590 has 128 divisors (see below), whose sum is σ = 1832181120. Its totient is φ = 263424000.

The previous prime is 825128587. The next prime is 825128597. The reversal of 825128590 is 95821528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825128597) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4188372 + ... + 4188568.

It is an arithmetic number, because the mean of its divisors is an integer number (14313915).

Almost surely, 2^825128590 is an apocalyptic number.

825128590 is an abundant number, since it is smaller than the sum of its proper divisors (1007052530).

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

825128590 is a wasteful number, since it uses less digits than its factorization.

825128590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358.

The product of its (nonzero) digits is 57600, while the sum is 40.

The square root of 825128590 is about 28725.0516100494. The cubic root of 825128590 is about 937.9374536818.

The spelling of 825128590 in words is "eight hundred twenty-five million, one hundred twenty-eight thousand, five hundred ninety".