126516261 has 16 divisors (see below), whose sum is σ = 186378624. Its totient is φ = 75930624.

The previous prime is 126516253. The next prime is 126516287. The reversal of 126516261 is 162615621.

It is not a de Polignac number, because 126516261 - 2³ = 126516253 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126516211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52756 + ... + 55101.

It is an arithmetic number, because the mean of its divisors is an integer number (11648664).

Almost surely, 2^126516261 is an apocalyptic number.

It is an amenable number.

126516261 is a deficient number, since it is larger than the sum of its proper divisors (59862363).

126516261 is a wasteful number, since it uses less digits than its factorization.

126516261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107900.

The product of its digits is 4320, while the sum is 30.

The square root of 126516261 is about 11247.9447455969. The cubic root of 126516261 is about 502.0135615877.

The spelling of 126516261 in words is "one hundred twenty-six million, five hundred sixteen thousand, two hundred sixty-one".