825032564 has 12 divisors (see below), whose sum is σ = 1467476388. Its totient is φ = 405753600.

The previous prime is 825032521. The next prime is 825032569. The reversal of 825032564 is 465230528.

It can be written as a sum of positive squares in 2 ways, for example, as 144240100 + 680792464 = 12010^2 + 26092^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825032569) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1690397 + ... + 1690884.

It is an arithmetic number, because the mean of its divisors is an integer number (122289699).

Almost surely, 2^825032564 is an apocalyptic number.

It is an amenable number.

825032564 is a deficient number, since it is larger than the sum of its proper divisors (642443824).

825032564 is a wasteful number, since it uses less digits than its factorization.

825032564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3381346 (or 3381344 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 825032564 is about 28723.3800935753. The cubic root of 825032564 is about 937.9010674841.

The spelling of 825032564 in words is "eight hundred twenty-five million, thirty-two thousand, five hundred sixty-four".