825584763 has 18 divisors (see below), whose sum is σ = 1125536916. Its totient is φ = 538279872.

The previous prime is 825584759. The next prime is 825584791. The reversal of 825584763 is 367485528.

It is not a de Polignac number, because 825584763 - 2² = 825584759 is a prime.

It is not an unprimeable number, because it can be changed into a prime (825582763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2637495 + ... + 2637807.

Almost surely, 2^825584763 is an apocalyptic number.

825584763 is a deficient number, since it is larger than the sum of its proper divisors (299952153).

825584763 is an frugal number, since it uses more digits than its factorization.

825584763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 369 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 48.

The square root of 825584763 is about 28732.9908467601. The cubic root of 825584763 is about 938.1102683290.

Multiplying 825584763 by its sum of digits (48), we get a square (39628068624 = 199068²).

The spelling of 825584763 in words is "eight hundred twenty-five million, five hundred eighty-four thousand, seven hundred sixty-three".