2772567013 has 2 divisors, whose sum is σ = 2772567014. Its totient is φ = 2772567012.

The previous prime is 2772566977. The next prime is 2772567047. The reversal of 2772567013 is 3107652772.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2766023649 + 6543364 = 52593^2 + 2558^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2772567013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2772567053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1386283506 + 1386283507.

It is an arithmetic number, because the mean of its divisors is an integer number (1386283507).

Almost surely, 2^2772567013 is an apocalyptic number.

It is an amenable number.

2772567013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2772567013 is an equidigital number, since it uses as much as digits as its factorization.

2772567013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 123480, while the sum is 40.

The square root of 2772567013 is about 52655.1708097125. The cubic root of 2772567013 is about 1404.8415727952.

The spelling of 2772567013 in words is "two billion, seven hundred seventy-two million, five hundred sixty-seven thousand, thirteen".