10279824816761 has 2 divisors, whose sum is σ = 10279824816762. Its totient is φ = 10279824816760.

The previous prime is 10279824816739. The next prime is 10279824816827. The reversal of 10279824816761 is 16761842897201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9312048949225 + 967775867536 = 3051565^2 + 983756^2 .

It is an emirp because it is prime and its reverse (16761842897201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10279824816761 - 2³⁰ = 10278751074937 is a prime.

It is a super-2 number, since 2×10279824816761² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10279824816694 and 10279824816703.

It is not a weakly prime, because it can be changed into another prime (10279824815761) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5139912408380 + 5139912408381.

It is an arithmetic number, because the mean of its divisors is an integer number (5139912408381).

Almost surely, 2^{10279824816761} is an apocalyptic number.

It is an amenable number.

10279824816761 is a deficient number, since it is larger than the sum of its proper divisors (1).

10279824816761 is an equidigital number, since it uses as much as digits as its factorization.

10279824816761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16257024, while the sum is 62.

The spelling of 10279824816761 in words is "ten trillion, two hundred seventy-nine billion, eight hundred twenty-four million, eight hundred sixteen thousand, seven hundred sixty-one".