2872777601 has 2 divisors, whose sum is σ = 2872777602. Its totient is φ = 2872777600.

The previous prime is 2872777553. The next prime is 2872777619. The reversal of 2872777601 is 1067772782.

2872777601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2706496576 + 166281025 = 52024^2 + 12895^2 .

It is a cyclic number.

It is not a de Polignac number, because 2872777601 - 2¹⁴ = 2872761217 is a prime.

It is a super-2 number, since 2×2872777601² = 16505702289614630402, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2872777651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1436388800 + 1436388801.

It is an arithmetic number, because the mean of its divisors is an integer number (1436388801).

Almost surely, 2^2872777601 is an apocalyptic number.

It is an amenable number.

2872777601 is a deficient number, since it is larger than the sum of its proper divisors (1).

2872777601 is an equidigital number, since it uses as much as digits as its factorization.

2872777601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 460992, while the sum is 47.

The square root of 2872777601 is about 53598.2984897842. The cubic root of 2872777601 is about 1421.5670066588.

The spelling of 2872777601 in words is "two billion, eight hundred seventy-two million, seven hundred seventy-seven thousand, six hundred one".