10305300518977 has 2 divisors, whose sum is σ = 10305300518978. Its totient is φ = 10305300518976.

The previous prime is 10305300518971. The next prime is 10305300519047. The reversal of 10305300518977 is 77981500350301.

It is a happy number.

10305300518977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9405010764081 + 900289754896 = 3066759^2 + 948836^2 .

It is a cyclic number.

It is not a de Polignac number, because 10305300518977 - 2¹⁵ = 10305300486209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10305300518977.

It is not a weakly prime, because it can be changed into another prime (10305300518971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5152650259488 + 5152650259489.

It is an arithmetic number, because the mean of its divisors is an integer number (5152650259489).

Almost surely, 2^{10305300518977} is an apocalyptic number.

It is an amenable number.

10305300518977 is a deficient number, since it is larger than the sum of its proper divisors (1).

10305300518977 is an equidigital number, since it uses as much as digits as its factorization.

10305300518977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 793800, while the sum is 49.

The spelling of 10305300518977 in words is "ten trillion, three hundred five billion, three hundred million, five hundred eighteen thousand, nine hundred seventy-seven".