1002551625625 has 75 divisors (see below), whose sum is σ = 1382234703465. Its totient is φ = 726925650000.

The previous prime is 1002551625617. The next prime is 1002551625631. The reversal of 1002551625625 is 5265261552001.

The square root of 1002551625625 is 1001275.

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

It can be written as a sum of positive squares in 2 ways, for example, as 78600047449 + 923951578176 = 280357^2 + 961224^2 .

It is not a de Polignac number, because 1002551625625 - 2³ = 1002551625617 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 3028856710 + ... + 3028857040.

Almost surely, 2^{1002551625625} is an apocalyptic number.

1002551625625 is the 1001275-th square number.

1002551625625 is the 500638-th centered octagonal number.

It is an amenable number.

1002551625625 is a deficient number, since it is larger than the sum of its proper divisors (379683077840).

1002551625625 is an frugal number, since it uses more digits than its factorization.

1002551625625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 40.

It can be divided in two parts, 1002551 and 625625, that added together give a square (1628176 = 1276²).

The spelling of 1002551625625 in words is "one trillion, two billion, five hundred fifty-one million, six hundred twenty-five thousand, six hundred twenty-five".