85125800 has 48 divisors (see below), whose sum is σ = 209568060. Its totient is φ = 32046080.

The previous prime is 85125787. The next prime is 85125827. The reversal of 85125800 is 852158.

It can be written as a sum of positive squares in 6 ways, for example, as 42797764 + 42328036 = 6542^2 + 6506^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9119 + ... + 15918.

Almost surely, 2^85125800 is an apocalyptic number.

It is an amenable number.

85125800 is an abundant number, since it is smaller than the sum of its proper divisors (124442260).

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

85125800 is a wasteful number, since it uses less digits than its factorization.

85125800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25070 (or 25061 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 29.

The square root of 85125800 is about 9226.3643977463. The cubic root of 85125800 is about 439.8997705585.

Adding to 85125800 its reverse (852158), we get a palindrome (85977958).

It can be divided in two parts, 85 and 125800, that multiplied together give a triangular number (10693000 = T₄₆₂₄).

The spelling of 85125800 in words is "eighty-five million, one hundred twenty-five thousand, eight hundred".