253233606332352 has 224 divisors, whose sum is σ = 724372932556800. Its totient is φ = 77803591053312.

The previous prime is 253233606332327. The next prime is 253233606332383.

It is a happy number.

253233606332352 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5377285318 + ... + 5377332410.

Almost surely, 2^{253233606332352} 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 253233606332352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362186466278400).

253233606332352 is an abundant number, since it is smaller than the sum of its proper divisors (471139326224448).

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

253233606332352 is a wasteful number, since it uses less digits than its factorization.

253233606332352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87003 (or 86993 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 48.

The spelling of 253233606332352 in words is "two hundred fifty-three trillion, two hundred thirty-three billion, six hundred six million, three hundred thirty-two thousand, three hundred fifty-two".