100586025409 has 9 divisors (see below), whose sum is σ = 101084823777. Its totient is φ = 100089680964.

The previous prime is 100586025389. The next prime is 100586025433. The reversal of 100586025409 is 904520685001.

The square root of 100586025409 is 317153.

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

It is not a de Polignac number, because 100586025409 - 2⁹ = 100586024897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100586025439) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 75798904 + ... + 75800230.

Almost surely, 2^100586025409 is an apocalyptic number.

100586025409 is the 317153-rd square number.

100586025409 is the 158577-th centered octagonal number.

It is an amenable number.

100586025409 is a deficient number, since it is larger than the sum of its proper divisors (498798368).

100586025409 is an frugal number, since it uses more digits than its factorization.

100586025409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3132 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 100586025409 in words is "one hundred billion, five hundred eighty-six million, twenty-five thousand, four hundred nine".