1251659968 has 84 divisors (see below), whose sum is σ = 2777020608. Its totient is φ = 558904320.

The previous prime is 1251659957. The next prime is 1251659993. The reversal of 1251659968 is 8699561521.

It is a super-2 number, since 2×1251659968² = 3133305350987522048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 333430 + ... + 337162.

Almost surely, 2^1251659968 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 1251659968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388510304).

1251659968 is an abundant number, since it is smaller than the sum of its proper divisors (1525360640).

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

1251659968 is a wasteful number, since it uses less digits than its factorization.

1251659968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3802 (or 3779 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 52.

The square root of 1251659968 is about 35378.8067633718. The cubic root of 1251659968 is about 1077.6939731140.

The spelling of 1251659968 in words is "one billion, two hundred fifty-one million, six hundred fifty-nine thousand, nine hundred sixty-eight".