1252558944 has 384 divisors, whose sum is σ = 4572288000. Its totient is φ = 324808704.

The previous prime is 1252558927. The next prime is 1252558961. The reversal of 1252558944 is 4498552521.

1252558944 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 558 + 94 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1252558927) and next prime (1252558961).

It is a super-3 number, since 3×1252558944³ (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1252558944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6997447 + ... + 6997625.

It is an arithmetic number, because the mean of its divisors is an integer number (11907000).

Almost surely, 2^1252558944 is an apocalyptic number.

1252558944 is a gapful number since it is divisible by the number (14) 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 1252558944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286144000).

1252558944 is an abundant number, since it is smaller than the sum of its proper divisors (3319729056).

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

1252558944 is a wasteful number, since it uses less digits than its factorization.

1252558944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 293 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 1252558944 is about 35391.5094902718. The cubic root of 1252558944 is about 1077.9519210098.

The spelling of 1252558944 in words is "one billion, two hundred fifty-two million, five hundred fifty-eight thousand, nine hundred forty-four".