253601122351005 has 192 divisors, whose sum is σ = 532494711141120. Its totient is φ = 109992245760000.

The previous prime is 253601122351001. The next prime is 253601122351061. The reversal of 253601122351005 is 500153221106352.

253601122351005 is a `hidden beast` number, since 2 + 5 + 3 + 6 + 0 + 112 + 23 + 510 + 0 + 5 = 666.

It is not a de Polignac number, because 253601122351005 - 2² = 253601122351001 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253601122351001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 57640081 + ... + 61883609.

It is an arithmetic number, because the mean of its divisors is an integer number (2773409953860).

Almost surely, 2^{253601122351005} is an apocalyptic number.

It is an amenable number.

253601122351005 is an abundant number, since it is smaller than the sum of its proper divisors (278893588790115).

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

253601122351005 is a wasteful number, since it uses less digits than its factorization.

253601122351005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4243852 (or 4243849 counting only the distinct ones).

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

Adding to 253601122351005 its reverse (500153221106352), we get a palindrome (753754343457357).

The spelling of 253601122351005 in words is "two hundred fifty-three trillion, six hundred one billion, one hundred twenty-two million, three hundred fifty-one thousand, five".