85250568529 has 27 divisors (see below), whose sum is σ = 101204040987. Its totient is φ = 71602103664.

The previous prime is 85250568497. The next prime is 85250568539. The reversal of 85250568529 is 92586505258.

The square root of 85250568529 is 291977.

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., 61456889025 + 23793679504 = 247905^2 + 154252^2 .

It is not a de Polignac number, because 85250568529 - 2⁵ = 85250568497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85250568529.

It is not an unprimeable number, because it can be changed into a prime (85250568539) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 108323074 + ... + 108323860.

Almost surely, 2^85250568529 is an apocalyptic number.

85250568529 is the 291977-th square number.

85250568529 is the 145989-th centered octagonal number.

It is an amenable number.

85250568529 is a deficient number, since it is larger than the sum of its proper divisors (15953472458).

85250568529 is an frugal number, since it uses more digits than its factorization.

85250568529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 55.

The spelling of 85250568529 in words is "eighty-five billion, two hundred fifty million, five hundred sixty-eight thousand, five hundred twenty-nine".