4777042513 has 2 divisors, whose sum is σ = 4777042514. Its totient is φ = 4777042512.

The previous prime is 4777042489. The next prime is 4777042537. The reversal of 4777042513 is 3152407774.

4777042513 = 48872² + 48873².

It is a balanced prime because it is at equal distance from previous prime (4777042489) and next prime (4777042537).

It can be written as a sum of positive squares in only one way, i.e., 2388570129 + 2388472384 = 48873^2 + 48872^2 .

It is a cyclic number.

It is not a de Polignac number, because 4777042513 - 2¹⁷ = 4776911441 is a prime.

It is not a weakly prime, because it can be changed into another prime (4777042573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2388521256 + 2388521257.

It is an arithmetic number, because the mean of its divisors is an integer number (2388521257).

Almost surely, 2^4777042513 is an apocalyptic number.

4777042513 is the 48873-rd centered square number.

It is an amenable number.

4777042513 is a deficient number, since it is larger than the sum of its proper divisors (1).

4777042513 is an equidigital number, since it uses as much as digits as its factorization.

4777042513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 164640, while the sum is 40.

The square root of 4777042513 is about 69116.1523306962. The cubic root of 4777042513 is about 1684.1717130013.

The spelling of 4777042513 in words is "four billion, seven hundred seventy-seven million, forty-two thousand, five hundred thirteen".