3872577013 has 2 divisors, whose sum is σ = 3872577014. Its totient is φ = 3872577012.

The previous prime is 3872576971. The next prime is 3872577043. The reversal of 3872577013 is 3107752783.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3312923364 + 559653649 = 57558^2 + 23657^2 .

It is an emirp because it is prime and its reverse (3107752783) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3872577013 - 2²¹ = 3870479861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3872577043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1936288506 + 1936288507.

It is an arithmetic number, because the mean of its divisors is an integer number (1936288507).

Almost surely, 2^3872577013 is an apocalyptic number.

It is an amenable number.

3872577013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3872577013 is an equidigital number, since it uses as much as digits as its factorization.

3872577013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 246960, while the sum is 43.

The square root of 3872577013 is about 62230.0330467532. The cubic root of 3872577013 is about 1570.3628805399.

The spelling of 3872577013 in words is "three billion, eight hundred seventy-two million, five hundred seventy-seven thousand, thirteen".