1251964064 has 48 divisors (see below), whose sum is σ = 2677995432. Its totient is φ = 572694528.

The previous prime is 1251964013. The next prime is 1251964121. The reversal of 1251964064 is 4604691521.

It can be written as a sum of positive squares in 4 ways, for example, as 886848400 + 365115664 = 29780^2 + 19108^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33692 + ... + 60324.

Almost surely, 2^1251964064 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 1251964064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338997716).

1251964064 is an abundant number, since it is smaller than the sum of its proper divisors (1426031368).

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

1251964064 is a wasteful number, since it uses less digits than its factorization.

1251964064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26769 (or 26761 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 1251964064 is about 35383.1042165608. The cubic root of 1251964064 is about 1077.7812427926.

The spelling of 1251964064 in words is "one billion, two hundred fifty-one million, nine hundred sixty-four thousand, sixty-four".