85252660641 has 48 divisors (see below), whose sum is σ = 130551220800. Its totient is φ = 53460031104.

The previous prime is 85252660621. The next prime is 85252660663. The reversal of 85252660641 is 14606625258.

85252660641 is a `hidden beast` number, since 8 + 5 + 2 + 526 + 60 + 64 + 1 = 666.

It is not a de Polignac number, because 85252660641 - 2¹⁰ = 85252659617 is a prime.

It is a super-2 number, since 2×85252660641² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85252660621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14118675 + ... + 14124711.

It is an arithmetic number, because the mean of its divisors is an integer number (2719817100).

Almost surely, 2^85252660641 is an apocalyptic number.

It is an amenable number.

85252660641 is a deficient number, since it is larger than the sum of its proper divisors (45298560159).

85252660641 is a wasteful number, since it uses less digits than its factorization.

85252660641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6638 (or 6635 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 85252660641 in words is "eighty-five billion, two hundred fifty-two million, six hundred sixty thousand, six hundred forty-one".