2312505516313 has 2 divisors, whose sum is σ = 2312505516314. Its totient is φ = 2312505516312.

The previous prime is 2312505516289. The next prime is 2312505516337. The reversal of 2312505516313 is 3136155052132.

It is a balanced prime because it is at equal distance from previous prime (2312505516289) and next prime (2312505516337).

It can be written as a sum of positive squares in only one way, i.e., 1413977835664 + 898527680649 = 1189108^2 + 947907^2 .

It is a cyclic number.

It is not a de Polignac number, because 2312505516313 - 2⁵ = 2312505516281 is a prime.

It is a super-2 number, since 2×2312505516313² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2312505516353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1156252758156 + 1156252758157.

It is an arithmetic number, because the mean of its divisors is an integer number (1156252758157).

Almost surely, 2^{2312505516313} is an apocalyptic number.

It is an amenable number.

2312505516313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2312505516313 is an equidigital number, since it uses as much as digits as its factorization.

2312505516313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81000, while the sum is 37.

The spelling of 2312505516313 in words is "two trillion, three hundred twelve billion, five hundred five million, five hundred sixteen thousand, three hundred thirteen".