253512215352 has 384 divisors, whose sum is σ = 821125693440. Its totient is φ = 69777469440.

The previous prime is 253512215279. The next prime is 253512215353.

253512215352 is a `hidden beast` number, since 2 + 53 + 51 + 2 + 21 + 535 + 2 = 666.

253512215352 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253512215353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63265333 + ... + 63269339.

It is an arithmetic number, because the mean of its divisors is an integer number (2138348160).

Almost surely, 2^253512215352 is an apocalyptic number.

253512215352 is a gapful number since it is divisible by the number (22) 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 253512215352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410562846720).

253512215352 is an abundant number, since it is smaller than the sum of its proper divisors (567613478088).

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

253512215352 is a wasteful number, since it uses less digits than its factorization.

253512215352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211 (or 4204 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

It can be divided in two parts, 253512 and 215352, that added together give a palindrome (468864).

The spelling of 253512215352 in words is "two hundred fifty-three billion, five hundred twelve million, two hundred fifteen thousand, three hundred fifty-two".