1252167168 has 240 divisors, whose sum is σ = 3940890624. Its totient is φ = 352235520.

The previous prime is 1252167167. The next prime is 1252167187. The reversal of 1252167168 is 8617612521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252167167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9558463 + ... + 9558593.

Almost surely, 2^1252167168 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 1252167168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970445312).

1252167168 is an abundant number, since it is smaller than the sum of its proper divisors (2688723456).

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

1252167168 is a wasteful number, since it uses less digits than its factorization.

1252167168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 270 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 1252167168 is about 35385.9741705665. The cubic root of 1252167168 is about 1077.8395218470.

Adding to 1252167168 its reverse (8617612521), we get a palindrome (9869779689).

The spelling of 1252167168 in words is "one billion, two hundred fifty-two million, one hundred sixty-seven thousand, one hundred sixty-eight".