126564525 has 30 divisors (see below), whose sum is σ = 234445002. Its totient is φ = 67500000.

The previous prime is 126564521. The next prime is 126564527. The reversal of 126564525 is 525465621.

126564525 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 645 + 2 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 45077796 + 81486729 = 6714^2 + 9027^2 .

It is not a de Polignac number, because 126564525 - 2² = 126564521 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 126564525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126564521) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 29226 + ... + 33275.

Almost surely, 2^126564525 is an apocalyptic number.

126564525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126564525 is a deficient number, since it is larger than the sum of its proper divisors (107880477).

126564525 is an equidigital number, since it uses as much as digits as its factorization.

126564525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62523 (or 62509 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 126564525 is about 11250.0899996400. The cubic root of 126564525 is about 502.0773902791.

The spelling of 126564525 in words is "one hundred twenty-six million, five hundred sixty-four thousand, five hundred twenty-five".