4577713754249 has 2 divisors, whose sum is σ = 4577713754250. Its totient is φ = 4577713754248.

The previous prime is 4577713754227. The next prime is 4577713754269. The reversal of 4577713754249 is 9424573177754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4520590364224 + 57123390025 = 2126168^2 + 239005^2 .

It is a cyclic number.

It is not a de Polignac number, because 4577713754249 - 2²⁴ = 4577696977033 is a prime.

It is not a weakly prime, because it can be changed into another prime (4577713754269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2288856877124 + 2288856877125.

It is an arithmetic number, because the mean of its divisors is an integer number (2288856877125).

Almost surely, 2^{4577713754249} is an apocalyptic number.

It is an amenable number.

4577713754249 is a deficient number, since it is larger than the sum of its proper divisors (1).

4577713754249 is an equidigital number, since it uses as much as digits as its factorization.

4577713754249 is an evil number, because the sum of its binary digits is even.

The product of its digits is 207446400, while the sum is 65.

The spelling of 4577713754249 in words is "four trillion, five hundred seventy-seven billion, seven hundred thirteen million, seven hundred fifty-four thousand, two hundred forty-nine".