85288529764 has 9 divisors (see below), whose sum is σ = 149255949241. Its totient is φ = 42643972840.

The previous prime is 85288529737. The next prime is 85288529771. The reversal of 85288529764 is 46792588258.

The square root of 85288529764 is 292042.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1767529764 + 83521000000 = 42042^2 + 289000^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85288529696 and 85288529705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 511074 + ... + 657094.

Almost surely, 2^85288529764 is an apocalyptic number.

85288529764 is the 292042-nd square number.

It is an amenable number.

85288529764 is a deficient number, since it is larger than the sum of its proper divisors (63967419477).

85288529764 is an frugal number, since it uses more digits than its factorization.

85288529764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292046 (or 146023 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 64.

Multiplying 85288529764 by its sum of digits (64), we get a square (5458465904896 = 2336336²).

The spelling of 85288529764 in words is "eighty-five billion, two hundred eighty-eight million, five hundred twenty-nine thousand, seven hundred sixty-four".