253023323320352 has 96 divisors (see below), whose sum is σ = 542935137064320. Its totient is φ = 115370099896320.

The previous prime is 253023323320331. The next prime is 253023323320357.

253023323320352 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (253023323320357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1992858152 + ... + 1992985112.

It is an arithmetic number, because the mean of its divisors is an integer number (5655574344420).

Almost surely, 2^{253023323320352} 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 253023323320352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271467568532160).

253023323320352 is an abundant number, since it is smaller than the sum of its proper divisors (289911813743968).

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

253023323320352 is a wasteful number, since it uses less digits than its factorization.

253023323320352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184786 (or 184778 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 38.

The spelling of 253023323320352 in words is "two hundred fifty-three trillion, twenty-three billion, three hundred twenty-three million, three hundred twenty thousand, three hundred fifty-two".