6777557525009 has 2 divisors, whose sum is σ = 6777557525010. Its totient is φ = 6777557525008.

The previous prime is 6777557525003. The next prime is 6777557525029. The reversal of 6777557525009 is 9005257557776.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6708892563409 + 68664961600 = 2590153^2 + 262040^2 .

It is a cyclic number.

It is not a de Polignac number, because 6777557525009 - 2²⁸ = 6777289089553 is a prime.

It is a super-2 number, since 2×6777557525009² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (6777557525003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3388778762504 + 3388778762505.

It is an arithmetic number, because the mean of its divisors is an integer number (3388778762505).

Almost surely, 2^{6777557525009} is an apocalyptic number.

It is an amenable number.

6777557525009 is a deficient number, since it is larger than the sum of its proper divisors (1).

6777557525009 is an equidigital number, since it uses as much as digits as its factorization.

6777557525009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162067500, while the sum is 65.

The spelling of 6777557525009 in words is "six trillion, seven hundred seventy-seven billion, five hundred fifty-seven million, five hundred twenty-five thousand, nine".