126252761 has 16 divisors (see below), whose sum is σ = 135924480. Its totient is φ = 116851200.

The previous prime is 126252703. The next prime is 126252767. The reversal of 126252761 is 167252621.

It is not a de Polignac number, because 126252761 - 2¹⁴ = 126236377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126252767) 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, 351500 + ... + 351858.

It is an arithmetic number, because the mean of its divisors is an integer number (8495280).

Almost surely, 2^126252761 is an apocalyptic number.

It is an amenable number.

126252761 is a deficient number, since it is larger than the sum of its proper divisors (9671719).

126252761 is a wasteful number, since it uses less digits than its factorization.

126252761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664.

The product of its digits is 10080, while the sum is 32.

The square root of 126252761 is about 11236.2253893378. The cubic root of 126252761 is about 501.6647987382.

The spelling of 126252761 in words is "one hundred twenty-six million, two hundred fifty-two thousand, seven hundred sixty-one".