126312561 has 32 divisors (see below), whose sum is σ = 193380480. Its totient is φ = 81425088.

The previous prime is 126312559. The next prime is 126312581. The reversal of 126312561 is 165213621.

126312561 is a `hidden beast` number, since 1 + 2 + 631 + 25 + 6 + 1 = 666.

It is not a de Polignac number, because 126312561 - 2¹ = 126312559 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (126312541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226495 + ... + 227051.

It is an arithmetic number, because the mean of its divisors is an integer number (6043140).

Almost surely, 2^126312561 is an apocalyptic number.

It is an amenable number.

126312561 is a deficient number, since it is larger than the sum of its proper divisors (67067919).

126312561 is a wasteful number, since it uses less digits than its factorization.

126312561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 824 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 126312561 is about 11238.8861102869. The cubic root of 126312561 is about 501.7439912499.

It can be divided in two parts, 1263 and 12561, that added together give a cube (13824 = 24³).

The spelling of 126312561 in words is "one hundred twenty-six million, three hundred twelve thousand, five hundred sixty-one".