10312652512361 has 2 divisors, whose sum is σ = 10312652512362. Its totient is φ = 10312652512360.

The previous prime is 10312652512297. The next prime is 10312652512411. The reversal of 10312652512361 is 16321525621301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9528797265625 + 783855246736 = 3086875^2 + 885356^2 .

It is a cyclic number.

It is not a de Polignac number, because 10312652512361 - 2⁶ = 10312652512297 is a prime.

It is not a weakly prime, because it can be changed into another prime (10312652518361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5156326256180 + 5156326256181.

It is an arithmetic number, because the mean of its divisors is an integer number (5156326256181).

Almost surely, 2^{10312652512361} is an apocalyptic number.

It is an amenable number.

10312652512361 is a deficient number, since it is larger than the sum of its proper divisors (1).

10312652512361 is an equidigital number, since it uses as much as digits as its factorization.

10312652512361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64800, while the sum is 38.

The spelling of 10312652512361 in words is "ten trillion, three hundred twelve billion, six hundred fifty-two million, five hundred twelve thousand, three hundred sixty-one".