253117218816 has 600 divisors, whose sum is σ = 943180007616. Its totient is φ = 65718190080.

The previous prime is 253117218797. The next prime is 253117218817. The reversal of 253117218816 is 618812711352.

253117218816 is a `hidden beast` number, since 2 + 531 + 1 + 7 + 21 + 88 + 16 = 666.

It is a super-2 number, since 2×253117218816² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (253117218817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 102185770 + ... + 102188246.

Almost surely, 2^253117218816 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 253117218816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471590003808).

253117218816 is an abundant number, since it is smaller than the sum of its proper divisors (690062788800).

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

253117218816 is an equidigital number, since it uses as much as digits as its factorization.

253117218816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535 (or 2500 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The spelling of 253117218816 in words is "two hundred fifty-three billion, one hundred seventeen million, two hundred eighteen thousand, eight hundred sixteen".