253102205555320 has 192 divisors, whose sum is σ = 626578105608000. Its totient is φ = 91945934868480.

The previous prime is 253102205555267. The next prime is 253102205555321. The reversal of 253102205555320 is 23555502201352.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253102205555321) 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, 37041150624 + ... + 37041157456.

It is an arithmetic number, because the mean of its divisors is an integer number (3263427633375).

Almost surely, 2^{253102205555320} is an apocalyptic number.

253102205555320 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 253102205555320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313289052804000).

253102205555320 is an abundant number, since it is smaller than the sum of its proper divisors (373475900052680).

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

253102205555320 is a wasteful number, since it uses less digits than its factorization.

253102205555320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13334 (or 13319 counting only the distinct ones).

The product of its (nonzero) digits is 450000, while the sum is 40.

Adding to 253102205555320 its reverse (23555502201352), we get a palindrome (276657707756672).

The spelling of 253102205555320 in words is "two hundred fifty-three trillion, one hundred two billion, two hundred five million, five hundred fifty-five thousand, three hundred twenty".