10117777757 has 4 divisors (see below), whose sum is σ = 10123473276. Its totient is φ = 10112082240.

The previous prime is 10117777753. The next prime is 10117777777. The reversal of 10117777757 is 75777771101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 75777771101 = 127 ⋅596675363.

It can be written as a sum of positive squares in 2 ways, for example, as 3531806041 + 6585971716 = 59429^2 + 81154^2 .

It is a cyclic number.

It is not a de Polignac number, because 10117777757 - 2² = 10117777753 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10117777753) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2845094 + ... + 2848647.

It is an arithmetic number, because the mean of its divisors is an integer number (2530868319).

Almost surely, 2^10117777757 is an apocalyptic number.

It is an amenable number.

10117777757 is a deficient number, since it is larger than the sum of its proper divisors (5695519).

10117777757 is an equidigital number, since it uses as much as digits as its factorization.

10117777757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5695518.

The product of its (nonzero) digits is 588245, while the sum is 50.

The spelling of 10117777757 in words is "ten billion, one hundred seventeen million, seven hundred seventy-seven thousand, seven hundred fifty-seven".