825389523 has 48 divisors (see below), whose sum is σ = 1431705600. Its totient is φ = 447999552.

The previous prime is 825389483. The next prime is 825389533. The reversal of 825389523 is 325983528.

825389523 is a `hidden beast` number, since 8 + 2 + 538 + 95 + 23 = 666.

825389523 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 825389523 - 2¹⁸ = 825127379 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (825389533) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213990 + ... + 217812.

It is an arithmetic number, because the mean of its divisors is an integer number (29827200).

Almost surely, 2^825389523 is an apocalyptic number.

825389523 is a deficient number, since it is larger than the sum of its proper divisors (606316077).

825389523 is a wasteful number, since it uses less digits than its factorization.

825389523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4008 (or 4005 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 825389523 is about 28729.5931575788. The cubic root of 825389523 is about 938.0363122286.

The spelling of 825389523 in words is "eight hundred twenty-five million, three hundred eighty-nine thousand, five hundred twenty-three".