125382564 has 36 divisors (see below), whose sum is σ = 317548140. Its totient is φ = 41713920.

The previous prime is 125382563. The next prime is 125382571. The reversal of 125382564 is 465283521.

125382564 is a `hidden beast` number, since 12 + 5 + 3 + 82 + 564 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17388900 + 107993664 = 4170^2 + 10392^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×125382564³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (125382563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17424 + ... + 23544.

Almost surely, 2^125382564 is an apocalyptic number.

It is an amenable number.

125382564 is an abundant number, since it is smaller than the sum of its proper divisors (192165576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125382564 is a wasteful number, since it uses less digits than its factorization.

125382564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6700 (or 6695 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 125382564 is about 11197.4355992790. The cubic root of 125382564 is about 500.5095658422.

The spelling of 125382564 in words is "one hundred twenty-five million, three hundred eighty-two thousand, five hundred sixty-four".