253166343661352 has 96 divisors (see below), whose sum is σ = 522572019147360. Its totient is φ = 114897376809600.

The previous prime is 253166343661331. The next prime is 253166343661379.

253166343661352 is nontrivially palindromic in base 10.

253166343661352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1686497483 + ... + 1686647589.

It is an arithmetic number, because the mean of its divisors is an integer number (5443458532785).

Almost surely, 2^{253166343661352} is an apocalyptic number.

253166343661352 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 253166343661352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261286009573680).

253166343661352 is an abundant number, since it is smaller than the sum of its proper divisors (269405675486008).

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

253166343661352 is a wasteful number, since it uses less digits than its factorization.

253166343661352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152823 (or 152808 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 56.

The spelling of 253166343661352 in words is "two hundred fifty-three trillion, one hundred sixty-six billion, three hundred forty-three million, six hundred sixty-one thousand, three hundred fifty-two".