1251552337984 has 189 divisors, whose sum is σ = 2786867842941. Its totient is φ = 557395038720.

The previous prime is 1251552337967. The next prime is 1251552338011. The reversal of 1251552337984 is 4897332551521.

It is a happy number.

The square root of 1251552337984 is 1118728.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 185140878400 + 1066411459584 = 430280^2 + 1032672^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3606778899 + ... + 3606779245.

Almost surely, 2^{1251552337984} is an apocalyptic number.

1251552337984 is the 1118728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1251552337984

1251552337984 is an abundant number, since it is smaller than the sum of its proper divisors (1535315504957).

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

1251552337984 is an frugal number, since it uses more digits than its factorization.

1251552337984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 393 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 55.

The spelling of 1251552337984 in words is "one trillion, two hundred fifty-one billion, five hundred fifty-two million, three hundred thirty-seven thousand, nine hundred eighty-four".