253005635344 has 120 divisors (see below), whose sum is σ = 652009768704. Its totient is φ = 92775091200.

The previous prime is 253005635263. The next prime is 253005635347. The reversal of 253005635344 is 443536500352.

253005635344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×253005635344² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 253005635297 and 253005635306.

It is not an unprimeable number, because it can be changed into a prime (253005635347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318712 + ... + 779479.

Almost surely, 2^253005635344 is an apocalyptic number.

It is an amenable number.

253005635344 is an abundant number, since it is smaller than the sum of its proper divisors (399004133360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

253005635344 is a wasteful number, since it uses less digits than its factorization.

253005635344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098245 (or 1098228 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 40.

The spelling of 253005635344 in words is "two hundred fifty-three billion, five million, six hundred thirty-five thousand, three hundred forty-four".