253115000520 has 128 divisors (see below), whose sum is σ = 781734844800. Its totient is φ = 65515862016.

The previous prime is 253115000513. The next prime is 253115000533. The reversal of 253115000520 is 25000511352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1792332 + ... + 1928388.

It is an arithmetic number, because the mean of its divisors is an integer number (6107303475).

Almost surely, 2^253115000520 is an apocalyptic number.

253115000520 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 253115000520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390867422400).

253115000520 is an abundant number, since it is smaller than the sum of its proper divisors (528619844280).

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

253115000520 is a wasteful number, since it uses less digits than its factorization.

253115000520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136527 (or 136523 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

Adding to 253115000520 its reverse (25000511352), we get a palindrome (278115511872).

The spelling of 253115000520 in words is "two hundred fifty-three billion, one hundred fifteen million, five hundred twenty", and thus it is an aban number.