2312505516337 has 2 divisors, whose sum is σ = 2312505516338. Its totient is φ = 2312505516336.

The previous prime is 2312505516313. The next prime is 2312505516353. The reversal of 2312505516337 is 7336155052132.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2153259825201 + 159245691136 = 1467399^2 + 399056^2 .

It is a cyclic number.

It is not a de Polignac number, because 2312505516337 - 2²⁷ = 2312371298609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2312505516293 and 2312505516302.

It is not a weakly prime, because it can be changed into another prime (2312505516397) 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, 1156252758168 + 1156252758169.

It is an arithmetic number, because the mean of its divisors is an integer number (1156252758169).

Almost surely, 2^{2312505516337} is an apocalyptic number.

It is an amenable number.

2312505516337 is a deficient number, since it is larger than the sum of its proper divisors (1).

2312505516337 is an equidigital number, since it uses as much as digits as its factorization.

2312505516337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567000, while the sum is 43.

The spelling of 2312505516337 in words is "two trillion, three hundred twelve billion, five hundred five million, five hundred sixteen thousand, three hundred thirty-seven".