253414443144100 has 72 divisors (see below), whose sum is σ = 629418603533888. Its totient is φ = 86753507068800.

The previous prime is 253414443144089. The next prime is 253414443144113. The reversal of 253414443144100 is 1441344414352.

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, 273380442 + ... + 274305841.

Almost surely, 2^{253414443144100} is an apocalyptic number.

253414443144100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253414443144100 is an abundant number, since it is smaller than the sum of its proper divisors (376004160389788).

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

253414443144100 is a wasteful number, since it uses less digits than its factorization.

253414443144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547686965 (or 547686958 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 40.

Adding to 253414443144100 its reverse (1441344414352), we get a palindrome (254855787558452).

The spelling of 253414443144100 in words is "two hundred fifty-three trillion, four hundred fourteen billion, four hundred forty-three million, one hundred forty-four thousand, one hundred".