253523747325352 has 96 divisors (see below), whose sum is σ = 570973380445440. Its totient is φ = 105116889024000.

The previous prime is 253523747325283. The next prime is 253523747325437.

253523747325352 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37869952 + ... + 44058832.

It is an arithmetic number, because the mean of its divisors is an integer number (5947639379640).

Almost surely, 2^{253523747325352} 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 253523747325352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285486690222720).

253523747325352 is an abundant number, since it is smaller than the sum of its proper divisors (317449633120088).

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

253523747325352 is a wasteful number, since it uses less digits than its factorization.

253523747325352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6192303 (or 6192292 counting only the distinct ones).

The product of its digits is 158760000, while the sum is 58.

The spelling of 253523747325352 in words is "two hundred fifty-three trillion, five hundred twenty-three billion, seven hundred forty-seven million, three hundred twenty-five thousand, three hundred fifty-two".