253233303332352 has 320 divisors, whose sum is σ = 777119830147584. Its totient is φ = 71778870558720.

The previous prime is 253233303332299. The next prime is 253233303332357.

253233303332352 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×253233303332352² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253233303332357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5122733428 + ... + 5122782860.

Almost surely, 2^{253233303332352} 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 253233303332352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388559915073792).

253233303332352 is an abundant number, since it is smaller than the sum of its proper divisors (523886526815232).

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

253233303332352 is a wasteful number, since it uses less digits than its factorization.

253233303332352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53229 (or 53213 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 42.

It can be divided in two parts, 25323330 and 3332352, that added together give a palindrome (28655682).

The spelling of 253233303332352 in words is "two hundred fifty-three trillion, two hundred thirty-three billion, three hundred three million, three hundred thirty-two thousand, three hundred fifty-two".