253013101310352 has 320 divisors, whose sum is σ = 688812233195520. Its totient is φ = 79951811788800.

The previous prime is 253013101310317. The next prime is 253013101310413.

253013101310352 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3996195048 + ... + 3996258360.

It is an arithmetic number, because the mean of its divisors is an integer number (2152538228736).

Almost surely, 2^{253013101310352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253013101310352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344406116597760).

253013101310352 is an abundant number, since it is smaller than the sum of its proper divisors (435799131885168).

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

253013101310352 is a wasteful number, since it uses less digits than its factorization.

253013101310352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63822 (or 63816 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

It can be divided in two parts, 25301310 and 1310352, that added together give a palindrome (26611662).

The spelling of 253013101310352 in words is "two hundred fifty-three trillion, thirteen billion, one hundred one million, three hundred ten thousand, three hundred fifty-two".