85200572352581 has 12 divisors (see below), whose sum is σ = 99223368079500. Its totient is φ = 72946168606080.

The previous prime is 85200572352569. The next prime is 85200572352683. The reversal of 85200572352581 is 18525327500258.

It can be written as a sum of positive squares in 2 ways, for example, as 20090036160481 + 65110536192100 = 4482191^2 + 8069110^2 .

It is not a de Polignac number, because 85200572352581 - 2³⁸ = 84925694445637 is a prime.

It is a super-2 number, since 2×85200572352581² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85200572351581) 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, 986782706 + ... + 986869043.

It is an arithmetic number, because the mean of its divisors is an integer number (8268614006625).

Almost surely, 2^{85200572352581} is an apocalyptic number.

It is an amenable number.

85200572352581 is a deficient number, since it is larger than the sum of its proper divisors (14022795726919).

85200572352581 is a wasteful number, since it uses less digits than its factorization.

85200572352581 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973652644 (or 1973652637 counting only the distinct ones).

The product of its (nonzero) digits is 6720000, while the sum is 53.

The spelling of 85200572352581 in words is "eighty-five trillion, two hundred billion, five hundred seventy-two million, three hundred fifty-two thousand, five hundred eighty-one".