2517661317796 has 27 divisors (see below), whose sum is σ = 4490906143171. Its totient is φ = 1234996627904.

The previous prime is 2517661317763. The next prime is 2517661317817. The reversal of 2517661317796 is 6977131667152.

The square root of 2517661317796 is 1586714.

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 625760102500 + 1891901215296 = 791050^2 + 1375464^2 .

It is a super-2 number, since 2×2517661317796² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 168184200 + ... + 168199168.

Almost surely, 2^{2517661317796} is an apocalyptic number.

2517661317796 is the 1586714-th square number.

It is an amenable number.

2517661317796 is a deficient number, since it is larger than the sum of its proper divisors (1973244825375).

2517661317796 is an frugal number, since it uses more digits than its factorization.

2517661317796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30048 (or 15024 counting only the distinct ones).

The product of its digits is 20003760, while the sum is 61.

The spelling of 2517661317796 in words is "two trillion, five hundred seventeen billion, six hundred sixty-one million, three hundred seventeen thousand, seven hundred ninety-six".