10145204589761 has 2 divisors, whose sum is σ = 10145204589762. Its totient is φ = 10145204589760.

The previous prime is 10145204589749. The next prime is 10145204589763. The reversal of 10145204589761 is 16798540254101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9782782529536 + 362422060225 = 3127744^2 + 602015^2 .

It is an emirp because it is prime and its reverse (16798540254101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10145204589761 - 2¹⁸ = 10145204327617 is a prime.

Together with 10145204589763, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10145204589763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5072602294880 + 5072602294881.

It is an arithmetic number, because the mean of its divisors is an integer number (5072602294881).

Almost surely, 2^{10145204589761} is an apocalyptic number.

It is an amenable number.

10145204589761 is a deficient number, since it is larger than the sum of its proper divisors (1).

10145204589761 is an equidigital number, since it uses as much as digits as its factorization.

10145204589761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2419200, while the sum is 53.

The spelling of 10145204589761 in words is "ten trillion, one hundred forty-five billion, two hundred four million, five hundred eighty-nine thousand, seven hundred sixty-one".