253415331100125 has 192 divisors, whose sum is σ = 467064299520000. Its totient is φ = 132168336854400.

The previous prime is 253415331100117. The next prime is 253415331100163. The reversal of 253415331100125 is 521001133514352.

It is a happy number.

253415331100125 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 1 + 533 + 1 + 100 + 12 + 5 = 666.

It is not a de Polignac number, because 253415331100125 - 2³ = 253415331100117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 253415331100125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3042195726 + ... + 3042279024.

It is an arithmetic number, because the mean of its divisors is an integer number (2432626560000).

Almost surely, 2^{253415331100125} is an apocalyptic number.

253415331100125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

253415331100125 is a deficient number, since it is larger than the sum of its proper divisors (213648968419875).

253415331100125 is a wasteful number, since it uses less digits than its factorization.

253415331100125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83753 (or 83740 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 253415331100125 its reverse (521001133514352), we get a palindrome (774416464614477).

The spelling of 253415331100125 in words is "two hundred fifty-three trillion, four hundred fifteen billion, three hundred thirty-one million, one hundred thousand, one hundred twenty-five".