5261131273417 has 32 divisors (see below), whose sum is σ = 5796702640800. Its totient is φ = 4752760320000.

The previous prime is 5261131273393. The next prime is 5261131273421. The reversal of 5261131273417 is 7143721311625.

It can be written as a sum of positive squares in 16 ways, for example, as 444067635456 + 4817063637961 = 666384^2 + 2194781^2 .

It is a cyclic number.

It is not a de Polignac number, because 5261131273417 - 2¹⁹ = 5261130749129 is a prime.

It is a super-2 number, since 2×5261131273417² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5261131273427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74589667 + ... + 74660167.

It is an arithmetic number, because the mean of its divisors is an integer number (181146957525).

Almost surely, 2^{5261131273417} is an apocalyptic number.

It is an amenable number.

5261131273417 is a deficient number, since it is larger than the sum of its proper divisors (535571367383).

5261131273417 is a wasteful number, since it uses less digits than its factorization.

5261131273417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71437.

The product of its digits is 211680, while the sum is 43.

The spelling of 5261131273417 in words is "five trillion, two hundred sixty-one billion, one hundred thirty-one million, two hundred seventy-three thousand, four hundred seventeen".