252253188461568 has 176 divisors, whose sum is σ = 768448052257664. Its totient is φ = 72067480289280.

The previous prime is 252253188461537. The next prime is 252253188461569. The reversal of 252253188461568 is 865164881352252.

It is a super-2 number, since 2×252253188461568² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252253188461499 and 252253188461508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252253188461569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324774096 + ... + 325549872.

Almost surely, 2^{252253188461568} is an apocalyptic number.

252253188461568 is a gapful number since it is divisible by the number (28) 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 252253188461568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384224026128832).

252253188461568 is an abundant number, since it is smaller than the sum of its proper divisors (516194863796096).

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

252253188461568 is a wasteful number, since it uses less digits than its factorization.

252253188461568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790928 (or 790910 counting only the distinct ones).

The product of its digits is 221184000, while the sum is 66.

The spelling of 252253188461568 in words is "two hundred fifty-two trillion, two hundred fifty-three billion, one hundred eighty-eight million, four hundred sixty-one thousand, five hundred sixty-eight".