10413210252761 has 2 divisors, whose sum is σ = 10413210252762. Its totient is φ = 10413210252760.

The previous prime is 10413210252647. The next prime is 10413210252821. The reversal of 10413210252761 is 16725201231401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7825474734025 + 2587735518736 = 2797405^2 + 1608644^2 .

It is a cyclic number.

It is not a de Polignac number, because 10413210252761 - 2¹⁰ = 10413210251737 is a prime.

It is a super-3 number, since 3×10413210252761³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10413210222761) 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, 5206605126380 + 5206605126381.

It is an arithmetic number, because the mean of its divisors is an integer number (5206605126381).

Almost surely, 2^{10413210252761} is an apocalyptic number.

It is an amenable number.

10413210252761 is a deficient number, since it is larger than the sum of its proper divisors (1).

10413210252761 is an equidigital number, since it uses as much as digits as its factorization.

10413210252761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 10413210252761 in words is "ten trillion, four hundred thirteen billion, two hundred ten million, two hundred fifty-two thousand, seven hundred sixty-one".