1290502816009 has 27 divisors (see below), whose sum is σ = 1442973973077. Its totient is φ = 1153270245600.

The previous prime is 1290502815961. The next prime is 1290502816013. The reversal of 1290502816009 is 9006182050921.

The square root of 1290502816009 is 1136003.

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

It can be written as a sum of positive squares in 4 ways, for example, as 566519655625 + 723983160384 = 752675^2 + 850872^2 .

It is not a de Polignac number, because 1290502816009 - 2⁷ = 1290502815881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1290502816709) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 762257167 + ... + 762258859.

Almost surely, 2^{1290502816009} is an apocalyptic number.

1290502816009 is the 1136003-rd square number.

1290502816009 is the 568002-nd centered octagonal number.

It is an amenable number.

1290502816009 is a deficient number, since it is larger than the sum of its proper divisors (152471157068).

1290502816009 is an frugal number, since it uses more digits than its factorization.

1290502816009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3530 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 43.

The spelling of 1290502816009 in words is "one trillion, two hundred ninety billion, five hundred two million, eight hundred sixteen thousand, nine".