1009977556513 has 2 divisors, whose sum is σ = 1009977556514. Its totient is φ = 1009977556512.

The previous prime is 1009977556477. The next prime is 1009977556541. The reversal of 1009977556513 is 3156557799001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1009850137569 + 127418944 = 1004913^2 + 11288^2 .

It is a cyclic number.

It is not a de Polignac number, because 1009977556513 - 2²⁹ = 1009440685601 is a prime.

It is not a weakly prime, because it can be changed into another prime (1009977556573) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504988778256 + 504988778257.

It is an arithmetic number, because the mean of its divisors is an integer number (504988778257).

Almost surely, 2^{1009977556513} is an apocalyptic number.

It is an amenable number.

1009977556513 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009977556513 is an equidigital number, since it uses as much as digits as its factorization.

1009977556513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8930250, while the sum is 58.

The spelling of 1009977556513 in words is "one trillion, nine billion, nine hundred seventy-seven million, five hundred fifty-six thousand, five hundred thirteen".