253321455351100 has 72 divisors (see below), whose sum is σ = 566813782252368. Its totient is φ = 98197182720000.

The previous prime is 253321455351061. The next prime is 253321455351101. The reversal of 253321455351100 is 1153554123352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253321455351101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135456277 + ... + 137313676.

It is an arithmetic number, because the mean of its divisors is an integer number (7872413642394).

Almost surely, 2^{253321455351100} is an apocalyptic number.

253321455351100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253321455351100 is an abundant number, since it is smaller than the sum of its proper divisors (313492326901268).

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

253321455351100 is a wasteful number, since it uses less digits than its factorization.

253321455351100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272770255 (or 272770248 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 40.

The spelling of 253321455351100 in words is "two hundred fifty-three trillion, three hundred twenty-one billion, four hundred fifty-five million, three hundred fifty-one thousand, one hundred".