10153144900225 has 48 divisors (see below), whose sum is σ = 12835910270592. Its totient is φ = 7965509852160.

The previous prime is 10153144900219. The next prime is 10153144900247. The reversal of 10153144900225 is 52200944135101.

10153144900225 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 10153144900225 - 2⁵ = 10153144900193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248751919 + ... + 248792731.

It is an arithmetic number, because the mean of its divisors is an integer number (267414797304).

Almost surely, 2^{10153144900225} is an apocalyptic number.

It is an amenable number.

10153144900225 is a deficient number, since it is larger than the sum of its proper divisors (2682765370367).

10153144900225 is a wasteful number, since it uses less digits than its factorization.

10153144900225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41866 (or 41861 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 10153144900225 in words is "ten trillion, one hundred fifty-three billion, one hundred forty-four million, nine hundred thousand, two hundred twenty-five".