682026570801 has 63 divisors (see below), whose sum is σ = 1039252099899. Its totient is φ = 447385527072.

The previous prime is 682026570787. The next prime is 682026570847. The reversal of 682026570801 is 108075620286.

The square root of 682026570801 is 825849.

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., 387151506225 + 294875064576 = 622215^2 + 543024^2 .

It is not a de Polignac number, because 682026570801 - 2¹⁵ = 682026538033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (682026578801) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1627748170 + ... + 1627748588.

Almost surely, 2^682026570801 is an apocalyptic number.

682026570801 is the 825849-th square number.

682026570801 is the 412925-th centered octagonal number.

It is an amenable number.

682026570801 is a deficient number, since it is larger than the sum of its proper divisors (357225529098).

682026570801 is an frugal number, since it uses more digits than its factorization.

682026570801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 682026570801 in words is "six hundred eighty-two billion, twenty-six million, five hundred seventy thousand, eight hundred one".