253355030310100 has 72 divisors (see below), whose sum is σ = 556491863366208. Its totient is φ = 100105263340800.

The previous prime is 253355030310091. The next prime is 253355030310113. The reversal of 253355030310100 is 1013030553352.

253355030310100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50396937 + ... + 55195663.

It is an arithmetic number, because the mean of its divisors is an integer number (7729053657864).

Almost surely, 2^{253355030310100} is an apocalyptic number.

253355030310100 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 253355030310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278245931683104).

253355030310100 is an abundant number, since it is smaller than the sum of its proper divisors (303136833056108).

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

253355030310100 is a wasteful number, since it uses less digits than its factorization.

253355030310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4805185 (or 4805178 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 31.

Adding to 253355030310100 its reverse (1013030553352), we get a palindrome (254368060863452).

The spelling of 253355030310100 in words is "two hundred fifty-three trillion, three hundred fifty-five billion, thirty million, three hundred ten thousand, one hundred".