253205323502352 has 320 divisors, whose sum is σ = 785488103043840. Its totient is φ = 69434877542400.

The previous prime is 253205323502291. The next prime is 253205323502389.

253205323502352 is nontrivially palindromic in base 10.

253205323502352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×253205323502352² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 435263202 + ... + 435844542.

It is an arithmetic number, because the mean of its divisors is an integer number (2454650322012).

Almost surely, 2^{253205323502352} 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 253205323502352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392744051521920).

253205323502352 is an abundant number, since it is smaller than the sum of its proper divisors (532282779541488).

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

253205323502352 is a wasteful number, since it uses less digits than its factorization.

253205323502352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583562 (or 583556 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 42.

The spelling of 253205323502352 in words is "two hundred fifty-three trillion, two hundred five billion, three hundred twenty-three million, five hundred two thousand, three hundred fifty-two".