10077808361 has 2 divisors, whose sum is σ = 10077808362. Its totient is φ = 10077808360.

The previous prime is 10077808339. The next prime is 10077808379. The reversal of 10077808361 is 16380877001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7052808361 + 3025000000 = 83981^2 + 55000^2 .

It is a cyclic number.

It is not a de Polignac number, because 10077808361 - 2²⁶ = 10010699497 is a prime.

It is a super-2 number, since 2×10077808361² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10077808261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5038904180 + 5038904181.

It is an arithmetic number, because the mean of its divisors is an integer number (5038904181).

Almost surely, 2^10077808361 is an apocalyptic number.

It is an amenable number.

10077808361 is a deficient number, since it is larger than the sum of its proper divisors (1).

10077808361 is an equidigital number, since it uses as much as digits as its factorization.

10077808361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56448, while the sum is 41.

The spelling of 10077808361 in words is "ten billion, seventy-seven million, eight hundred eight thousand, three hundred sixty-one".