1252434961152 has 216 divisors, whose sum is σ = 3633399478800. Its totient is φ = 414904909824.

The previous prime is 1252434961117. The next prime is 1252434961157. The reversal of 1252434961152 is 2511694342521.

1252434961152 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 4 + 3 + 496 + 1 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1252434961098 and 1252434961107.

It is not an unprimeable number, because it can be changed into a prime (1252434961157) 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 23 ways as a sum of consecutive naturals, for example, 332297124 + ... + 332300892.

Almost surely, 2^{1252434961152} is an apocalyptic number.

1252434961152 is a gapful number since it is divisible by the number (12) 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 1252434961152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816699739400).

1252434961152 is an abundant number, since it is smaller than the sum of its proper divisors (2380964517648).

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

1252434961152 is a wasteful number, since it uses less digits than its factorization.

1252434961152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4643 (or 4626 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 1252434961152 in words is "one trillion, two hundred fifty-two billion, four hundred thirty-four million, nine hundred sixty-one thousand, one hundred fifty-two".