253152320020 has 24 divisors (see below), whose sum is σ = 531903784104. Its totient is φ = 101206849536.

The previous prime is 253152319993. The next prime is 253152320027. The reversal of 253152320020 is 20023251352.

253152320020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 35177253136 + 217975066884 = 187556^2 + 466878^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253152320027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3341509 + ... + 3416428.

It is an arithmetic number, because the mean of its divisors is an integer number (22162657671).

Almost surely, 2^253152320020 is an apocalyptic number.

253152320020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253152320020 is an abundant number, since it is smaller than the sum of its proper divisors (278751464084).

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

253152320020 is a wasteful number, since it uses less digits than its factorization.

253152320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6759819 (or 6759817 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 253152320020 its reverse (20023251352), we get a palindrome (273175571372).

The spelling of 253152320020 in words is "two hundred fifty-three billion, one hundred fifty-two million, three hundred twenty thousand, twenty".