10306612489961 has 2 divisors, whose sum is σ = 10306612489962. Its totient is φ = 10306612489960.

The previous prime is 10306612489883. The next prime is 10306612489969. The reversal of 10306612489961 is 16998421660301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6010759339225 + 4295853150736 = 2451685^2 + 2072644^2 .

It is a cyclic number.

It is not a de Polignac number, because 10306612489961 - 2⁴² = 5908565978857 is a prime.

It is a super-2 number, since 2×10306612489961² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10306612489897 and 10306612489906.

It is not a weakly prime, because it can be changed into another prime (10306612489969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5153306244980 + 5153306244981.

It is an arithmetic number, because the mean of its divisors is an integer number (5153306244981).

Almost surely, 2^{10306612489961} is an apocalyptic number.

It is an amenable number.

10306612489961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10306612489961 is an equidigital number, since it uses as much as digits as its factorization.

10306612489961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3359232, while the sum is 56.

The spelling of 10306612489961 in words is "ten trillion, three hundred six billion, six hundred twelve million, four hundred eighty-nine thousand, nine hundred sixty-one".