85579066521 has 45 divisors (see below), whose sum is σ = 134147521131. Its totient is φ = 52572768768.

The previous prime is 85579066493. The next prime is 85579066549. The reversal of 85579066521 is 12566097558.

The square root of 85579066521 is 292539.

It is a perfect power (a square), and thus also a powerful number.

85579066521 is a `hidden beast` number, since 8 + 5 + 57 + 9 + 0 + 66 + 521 = 666.

It is an interprime number because it is at equal distance from previous prime (85579066493) and next prime (85579066549).

It can be written as a sum of positive squares in 7 ways, for example, as 49530728025 + 36048338496 = 222555^2 + 189864^2 .

It is not a de Polignac number, because 85579066521 - 2²⁷ = 85444848793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85579066571) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 148316985 + ... + 148317561.

Almost surely, 2^85579066521 is an apocalyptic number.

85579066521 is the 292539-th square number.

85579066521 is the 146270-th centered octagonal number.

It is an amenable number.

85579066521 is a deficient number, since it is larger than the sum of its proper divisors (48568454610).

85579066521 is an frugal number, since it uses more digits than its factorization.

85579066521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 85579066521 in words is "eighty-five billion, five hundred seventy-nine million, sixty-six thousand, five hundred twenty-one".