4977509753 has 2 divisors, whose sum is σ = 4977509754. Its totient is φ = 4977509752.

The previous prime is 4977509723. The next prime is 4977509773. The reversal of 4977509753 is 3579057794.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4783520569 + 193989184 = 69163^2 + 13928^2 .

It is a cyclic number.

It is not a de Polignac number, because 4977509753 - 2¹⁴ = 4977493369 is a prime.

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 (4977509723) 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, 2488754876 + 2488754877.

It is an arithmetic number, because the mean of its divisors is an integer number (2488754877).

Almost surely, 2^4977509753 is an apocalyptic number.

It is an amenable number.

4977509753 is a deficient number, since it is larger than the sum of its proper divisors (1).

4977509753 is an equidigital number, since it uses as much as digits as its factorization.

4977509753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8334900, while the sum is 56.

The square root of 4977509753 is about 70551.4688224136. The cubic root of 4977509753 is about 1707.4082408369.

The spelling of 4977509753 in words is "four billion, nine hundred seventy-seven million, five hundred nine thousand, seven hundred fifty-three".