253103341300 has 72 divisors (see below), whose sum is σ = 573436547712. Its totient is φ = 96785040000.

The previous prime is 253103341247. The next prime is 253103341357. The reversal of 253103341300 is 3143301352.

It is a super-2 number, since 2×253103341300² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4181250 + ... + 4241350.

It is an arithmetic number, because the mean of its divisors is an integer number (7964396496).

Almost surely, 2^253103341300 is an apocalyptic number.

253103341300 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 253103341300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286718273856).

253103341300 is an abundant number, since it is smaller than the sum of its proper divisors (320333206412).

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

253103341300 is a wasteful number, since it uses less digits than its factorization.

253103341300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61969 (or 61962 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

Adding to 253103341300 its reverse (3143301352), we get a palindrome (256246642652).

The spelling of 253103341300 in words is "two hundred fifty-three billion, one hundred three million, three hundred forty-one thousand, three hundred".