253415404452132 has 288 divisors, whose sum is σ = 696041477331200. Its totient is φ = 77737568044032.

The previous prime is 253415404452109. The next prime is 253415404452149. The reversal of 253415404452132 is 231254404514352.

253415404452132 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 1 + 54 + 0 + 44 + 521 + 32 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76491216108 + ... + 76491219420.

Almost surely, 2^{253415404452132} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253415404452132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348020738665600).

253415404452132 is an abundant number, since it is smaller than the sum of its proper divisors (442626072879068).

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

253415404452132 is a wasteful number, since it uses less digits than its factorization.

253415404452132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6004 (or 5973 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

Adding to 253415404452132 its reverse (231254404514352), we get a palindrome (484669808966484).

The spelling of 253415404452132 in words is "two hundred fifty-three trillion, four hundred fifteen billion, four hundred four million, four hundred fifty-two thousand, one hundred thirty-two".