126561405 has 32 divisors (see below), whose sum is σ = 206972928. Its totient is φ = 66024000.

The previous prime is 126561389. The next prime is 126561439. The reversal of 126561405 is 504165621.

It is not a de Polignac number, because 126561405 - 2⁴ = 126561389 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160422 + ... + 161208.

It is an arithmetic number, because the mean of its divisors is an integer number (6467904).

Almost surely, 2^126561405 is an apocalyptic number.

126561405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126561405 is a deficient number, since it is larger than the sum of its proper divisors (80411523).

126561405 is a wasteful number, since it uses less digits than its factorization.

126561405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017.

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 126561405 is about 11249.9513332281. The cubic root of 126561405 is about 502.0732645988.

The spelling of 126561405 in words is "one hundred twenty-six million, five hundred sixty-one thousand, four hundred five".