253073122008 has 192 divisors, whose sum is σ = 747788636160. Its totient is φ = 71150897664.

The previous prime is 253073121979. The next prime is 253073122009. The reversal of 253073122008 is 800221370352.

It is a self number, because there is not a number n which added to its sum of digits gives 253073122008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253073122009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39744441 + ... + 39750807.

It is an arithmetic number, because the mean of its divisors is an integer number (3894732480).

Almost surely, 2^253073122008 is an apocalyptic number.

253073122008 is a gapful number since it is divisible by the number (28) 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 253073122008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373894318080).

253073122008 is an abundant number, since it is smaller than the sum of its proper divisors (494715514152).

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

253073122008 is a wasteful number, since it uses less digits than its factorization.

253073122008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6926 (or 6915 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 253073122008 in words is "two hundred fifty-three billion, seventy-three million, one hundred twenty-two thousand, eight".