126515633153 has 24 divisors (see below), whose sum is σ = 161090392680. Its totient is φ = 98459262720.

The previous prime is 126515633143. The next prime is 126515633177. The reversal of 126515633153 is 351336515621.

It can be written as a sum of positive squares in 4 ways, for example, as 22542920449 + 103972712704 = 150143^2 + 322448^2 .

It is not a de Polignac number, because 126515633153 - 2⁸ = 126515632897 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 126515633153.

It is not an unprimeable number, because it can be changed into a prime (126515633143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1589108 + ... + 1666821.

It is an arithmetic number, because the mean of its divisors is an integer number (6712099695).

Almost surely, 2^126515633153 is an apocalyptic number.

126515633153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

126515633153 is a deficient number, since it is larger than the sum of its proper divisors (34574759527).

126515633153 is a wasteful number, since it uses less digits than its factorization.

126515633153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3256017 (or 3256010 counting only the distinct ones).

The product of its digits is 243000, while the sum is 41.

The spelling of 126515633153 in words is "one hundred twenty-six billion, five hundred fifteen million, six hundred thirty-three thousand, one hundred fifty-three".