254113200253 has 96 divisors (see below), whose sum is σ = 317956907520. Its totient is φ = 201728102400.

The previous prime is 254113200251. The next prime is 254113200283. The reversal of 254113200253 is 352002311452.

It is not a de Polignac number, because 254113200253 - 2¹ = 254113200251 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254113200251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 521792776 + ... + 521793262.

It is an arithmetic number, because the mean of its divisors is an integer number (3312051120).

Almost surely, 2^254113200253 is an apocalyptic number.

254113200253 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

254113200253 is a deficient number, since it is larger than the sum of its proper divisors (63843707267).

254113200253 is a wasteful number, since it uses less digits than its factorization.

254113200253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 254113200253 in words is "two hundred fifty-four billion, one hundred thirteen million, two hundred thousand, two hundred fifty-three".