10777684079513 has 6 divisors (see below), whose sum is σ = 11670509979774. Its totient is φ = 9948631457856.

The previous prime is 10777684079509. The next prime is 10777684079527. The reversal of 10777684079513 is 31597048677701.

10777684079513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1162400953609 + 9615283125904 = 1078147^2 + 3100852^2 .

It is not a de Polignac number, because 10777684079513 - 2² = 10777684079509 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10777684079513.

It is not an unprimeable number, because it can be changed into a prime (10777684079543) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31886639120 + ... + 31886639457.

It is an arithmetic number, because the mean of its divisors is an integer number (1945084996629).

Almost surely, 2^{10777684079513} is an apocalyptic number.

10777684079513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10777684079513 is a deficient number, since it is larger than the sum of its proper divisors (892825900261).

10777684079513 is an equidigital number, since it uses as much as digits as its factorization.

10777684079513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63773278603 (or 63773278590 counting only the distinct ones).

The product of its (nonzero) digits is 62233920, while the sum is 65.

The spelling of 10777684079513 in words is "ten trillion, seven hundred seventy-seven billion, six hundred eighty-four million, seventy-nine thousand, five hundred thirteen".