1002025024144 has 15 divisors (see below), whose sum is σ = 1941431242153. Its totient is φ = 501010510048.

The previous prime is 1002025024141. The next prime is 1002025024153. The reversal of 1002025024144 is 4414205202001.

The square root of 1002025024144 is 1001012.

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., 27682304400 + 974342719744 = 166380^2 + 987088^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002025024141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3878922 + ... + 4129174.

Almost surely, 2^{1002025024144} is an apocalyptic number.

1002025024144 is the 1001012-nd square number.

It is an amenable number.

1002025024144 is a deficient number, since it is larger than the sum of its proper divisors (939406218009).

1002025024144 is an frugal number, since it uses more digits than its factorization.

1002025024144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500514 (or 250255 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Multiplying 1002025024144 by its sum of digits (25), we get a square (25050625603600 = 5005060²).

The spelling of 1002025024144 in words is "one trillion, two billion, twenty-five million, twenty-four thousand, one hundred forty-four".