126305033953 has 16 divisors (see below), whose sum is σ = 147724589056. Its totient is φ = 105730122960.

The previous prime is 126305033929. The next prime is 126305033969. The reversal of 126305033953 is 359330503621.

It is a happy number.

It is not a de Polignac number, because 126305033953 - 2²⁹ = 125768163041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126305030953) 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, 2804350 + ... + 2849032.

It is an arithmetic number, because the mean of its divisors is an integer number (9232786816).

Almost surely, 2^126305033953 is an apocalyptic number.

It is an amenable number.

126305033953 is a deficient number, since it is larger than the sum of its proper divisors (21419555103).

126305033953 is an equidigital number, since it uses as much as digits as its factorization.

126305033953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54124.

The product of its (nonzero) digits is 218700, while the sum is 40.

The spelling of 126305033953 in words is "one hundred twenty-six billion, three hundred five million, thirty-three thousand, nine hundred fifty-three".