253351353200 has 120 divisors (see below), whose sum is σ = 664821414480. Its totient is φ = 92015308800.

The previous prime is 253351353187. The next prime is 253351353257. The reversal of 253351353200 is 2353153352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3612872 + ... + 3682328.

It is an arithmetic number, because the mean of its divisors is an integer number (5540178454).

Almost surely, 2^253351353200 is an apocalyptic number.

253351353200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253351353200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332410707240).

253351353200 is an abundant number, since it is smaller than the sum of its proper divisors (411470061280).

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

253351353200 is a wasteful number, since it uses less digits than its factorization.

253351353200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70315 (or 70304 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 32.

The spelling of 253351353200 in words is "two hundred fifty-three billion, three hundred fifty-one million, three hundred fifty-three thousand, two hundred".