253032232103040 has 512 divisors, whose sum is σ = 943790122598400. Its totient is φ = 57103261286400.

The previous prime is 253032232102987. The next prime is 253032232103041. The reversal of 253032232103040 is 40301232230352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 253032232102989 and 253032232103007.

It is not an unprimeable number, because it can be changed into a prime (253032232103041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6095745 + ... + 23307135.

It is an arithmetic number, because the mean of its divisors is an integer number (1843340083200).

Almost surely, 2^{253032232103040} is an apocalyptic number.

253032232103040 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 253032232103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471895061299200).

253032232103040 is an abundant number, since it is smaller than the sum of its proper divisors (690757890495360).

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

253032232103040 is a wasteful number, since it uses less digits than its factorization.

253032232103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17211476 (or 17211464 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 253032232103040 its reverse (40301232230352), we get a palindrome (293333464333392).

The spelling of 253032232103040 in words is "two hundred fifty-three trillion, thirty-two billion, two hundred thirty-two million, one hundred three thousand, forty".