1290780015625 has 63 divisors (see below), whose sum is σ = 1651420912323. Its totient is φ = 1008879000000.

The previous prime is 1290780015617. The next prime is 1290780015631. The reversal of 1290780015625 is 5265100870921.

The square root of 1290780015625 is 1136125.

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

It can be written as a sum of positive squares in 31 ways, for example, as 510886146169 + 779893869456 = 714763^2 + 883116^2 .

It is not a de Polignac number, because 1290780015625 - 2³ = 1290780015617 is a prime.

It is a super-2 number, since 2×1290780015625² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 8662953051 + ... + 8662953199.

Almost surely, 2^{1290780015625} is an apocalyptic number.

1290780015625 is the 1136125-th square number.

1290780015625 is the 568063-rd centered octagonal number.

It is an amenable number.

1290780015625 is a deficient number, since it is larger than the sum of its proper divisors (360640896698).

1290780015625 is an frugal number, since it uses more digits than its factorization.

1290780015625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 46.

The spelling of 1290780015625 in words is "one trillion, two hundred ninety billion, seven hundred eighty million, fifteen thousand, six hundred twenty-five".