126252621 has 32 divisors (see below), whose sum is σ = 209577600. Its totient is φ = 74442240.

The previous prime is 126252613. The next prime is 126252703.

126252621 is a `hidden beast` number, since 12 + 6 + 25 + 2 + 621 = 666.

126252621 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 126252621 - 2³ = 126252613 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126251621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5245 + ... + 16733.

It is an arithmetic number, because the mean of its divisors is an integer number (6549300).

Almost surely, 2^126252621 is an apocalyptic number.

126252621 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

126252621 is a deficient number, since it is larger than the sum of its proper divisors (83324979).

126252621 is a wasteful number, since it uses less digits than its factorization.

126252621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11546 (or 11540 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 126252621 is about 11236.2191594860. The cubic root of 126252621 is about 501.6646133083.

The spelling of 126252621 in words is "one hundred twenty-six million, two hundred fifty-two thousand, six hundred twenty-one".