1251828864 has 512 divisors, whose sum is σ = 4626720000. Its totient is φ = 327352320.

The previous prime is 1251828839. The next prime is 1251828899. The reversal of 1251828864 is 4688281521.

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, 8401462 + ... + 8401610.

Almost surely, 2^1251828864 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 1251828864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313360000).

1251828864 is an abundant number, since it is smaller than the sum of its proper divisors (3374891136).

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

1251828864 is a wasteful number, since it uses less digits than its factorization.

1251828864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 195 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The square root of 1251828864 is about 35381.1936486038. The cubic root of 1251828864 is about 1077.7424447489.

The spelling of 1251828864 in words is "one billion, two hundred fifty-one million, eight hundred twenty-eight thousand, eight hundred sixty-four".