85521753 has 12 divisors (see below), whose sum is σ = 123739668. Its totient is φ = 56918400.

The previous prime is 85521749. The next prime is 85521757. The reversal of 85521753 is 35712558.

85521753 is a `hidden beast` number, since 85 + 521 + 7 + 53 = 666.

It is an interprime number because it is at equal distance from previous prime (85521749) and next prime (85521757).

It can be written as a sum of positive squares in 2 ways, for example, as 46621584 + 38900169 = 6828^2 + 6237^2 .

It is not a de Polignac number, because 85521753 - 2² = 85521749 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85521757) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2148 + ... + 13253.

It is an arithmetic number, because the mean of its divisors is an integer number (10311639).

Almost surely, 2^85521753 is an apocalyptic number.

It is an amenable number.

85521753 is a deficient number, since it is larger than the sum of its proper divisors (38217915).

85521753 is a wasteful number, since it uses less digits than its factorization.

85521753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16024 (or 16021 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 85521753 is about 9247.7971971708. The cubic root of 85521753 is about 440.5807637498.

The spelling of 85521753 in words is "eighty-five million, five hundred twenty-one thousand, seven hundred fifty-three".