10135557477761 has 2 divisors, whose sum is σ = 10135557477762. Its totient is φ = 10135557477760.

The previous prime is 10135557477757. The next prime is 10135557477791. The reversal of 10135557477761 is 16777475553101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9415808853361 + 719748624400 = 3068519^2 + 848380^2 .

It is a cyclic number.

It is not a de Polignac number, because 10135557477761 - 2² = 10135557477757 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10135557477761.

It is not a weakly prime, because it can be changed into another prime (10135557477751) 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, 5067778738880 + 5067778738881.

It is an arithmetic number, because the mean of its divisors is an integer number (5067778738881).

Almost surely, 2^{10135557477761} is an apocalyptic number.

It is an amenable number.

10135557477761 is a deficient number, since it is larger than the sum of its proper divisors (1).

10135557477761 is an equidigital number, since it uses as much as digits as its factorization.

10135557477761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21609000, while the sum is 59.

The spelling of 10135557477761 in words is "ten trillion, one hundred thirty-five billion, five hundred fifty-seven million, four hundred seventy-seven thousand, seven hundred sixty-one".