253022132022100 has 144 divisors (see below), whose sum is σ = 633243187842048. Its totient is φ = 85956222965760.

The previous prime is 253022132022097. The next prime is 253022132022181. The reversal of 253022132022100 is 1220231220352.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256820637 + ... + 257803963.

It is an arithmetic number, because the mean of its divisors is an integer number (4397522137792).

Almost surely, 2^{253022132022100} is an apocalyptic number.

253022132022100 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 253022132022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316621593921024).

253022132022100 is an abundant number, since it is smaller than the sum of its proper divisors (380221055819948).

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

253022132022100 is a wasteful number, since it uses less digits than its factorization.

253022132022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986714 (or 986707 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 253022132022100 its reverse (1220231220352), we get a palindrome (254242363242452).

The spelling of 253022132022100 in words is "two hundred fifty-three trillion, twenty-two billion, one hundred thirty-two million, twenty-two thousand, one hundred".