1290601513717 has 8 divisors (see below), whose sum is σ = 1413640603800. Its totient is φ = 1172798129664.

The previous prime is 1290601513687. The next prime is 1290601513727. The reversal of 1290601513717 is 7173151060921.

It can be written as a sum of positive squares in 4 ways, for example, as 233722935601 + 1056878578116 = 483449^2 + 1028046^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1290601513717 - 2¹⁹ = 1290600989429 is a prime.

It is a super-2 number, since 2×1290601513717² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1290601513727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1308925992 + ... + 1308926977.

It is an arithmetic number, because the mean of its divisors is an integer number (176705075475).

Almost surely, 2^{1290601513717} is an apocalyptic number.

1290601513717 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1290601513717 is a deficient number, since it is larger than the sum of its proper divisors (123039090083).

1290601513717 is a wasteful number, since it uses less digits than its factorization.

1290601513717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2617853015.

The product of its (nonzero) digits is 79380, while the sum is 43.

The spelling of 1290601513717 in words is "one trillion, two hundred ninety billion, six hundred one million, five hundred thirteen thousand, seven hundred seventeen".