4577997761 has 2 divisors, whose sum is σ = 4577997762. Its totient is φ = 4577997760.

The previous prime is 4577997737. The next prime is 4577997773. The reversal of 4577997761 is 1677997754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3752297536 + 825700225 = 61256^2 + 28735^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4577997761 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4577997694 and 4577997703.

It is not a weakly prime, because it can be changed into another prime (4577997701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2288998880 + 2288998881.

It is an arithmetic number, because the mean of its divisors is an integer number (2288998881).

Almost surely, 2^4577997761 is an apocalyptic number.

It is an amenable number.

4577997761 is a deficient number, since it is larger than the sum of its proper divisors (1).

4577997761 is an equidigital number, since it uses as much as digits as its factorization.

4577997761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 23337720, while the sum is 62.

The square root of 4577997761 is about 67660.9027504068. The cubic root of 4577997761 is about 1660.4476657105.

The spelling of 4577997761 in words is "four billion, five hundred seventy-seven million, nine hundred ninety-seven thousand, seven hundred sixty-one".