125821089 has 9 divisors (see below), whose sum is σ = 181790193. Its totient is φ = 83858292.

The previous prime is 125821067. The next prime is 125821117. The reversal of 125821089 is 980128521.

The square root of 125821089 is 11217.

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

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 125821089 - 2¹⁷ = 125690017 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (125821049) 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, 31782 + ... + 35520.

Almost surely, 2^125821089 is an apocalyptic number.

125821089 is the 11217-th square number.

125821089 is the 5609-th centered octagonal number.

It is an amenable number.

125821089 is a deficient number, since it is larger than the sum of its proper divisors (55969104).

125821089 is an frugal number, since it uses more digits than its factorization.

125821089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7484 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The cubic root of 125821089 is about 501.0923969331.

Multiplying 125821089 by its sum of digits (36), we get a square (4529559204 = 67302²).

The spelling of 125821089 in words is "one hundred twenty-five million, eight hundred twenty-one thousand, eighty-nine".