253625046101 has 48 divisors (see below), whose sum is σ = 304766618688. Its totient is φ = 210359520000.

The previous prime is 253625046097. The next prime is 253625046107. The reversal of 253625046101 is 101640526352.

253625046101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 253625046101 - 2² = 253625046097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253625046107) 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 47 ways as a sum of consecutive naturals, for example, 62267801 + ... + 62271873.

It is an arithmetic number, because the mean of its divisors is an integer number (6349304556).

Almost surely, 2^253625046101 is an apocalyptic number.

It is an amenable number.

253625046101 is a deficient number, since it is larger than the sum of its proper divisors (51141572587).

253625046101 is a wasteful number, since it uses less digits than its factorization.

253625046101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4482 (or 4475 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 253625046101 in words is "two hundred fifty-three billion, six hundred twenty-five million, forty-six thousand, one hundred one".