2752509342049 has 2 divisors, whose sum is σ = 2752509342050. Its totient is φ = 2752509342048.

The previous prime is 2752509342013. The next prime is 2752509342053. The reversal of 2752509342049 is 9402439052572.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2559142471824 + 193366870225 = 1599732^2 + 439735^2 .

It is a cyclic number.

It is not a de Polignac number, because 2752509342049 - 2⁷ = 2752509341921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2752509341987 and 2752509342005.

It is not a weakly prime, because it can be changed into another prime (2752509342059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1376254671024 + 1376254671025.

It is an arithmetic number, because the mean of its divisors is an integer number (1376254671025).

Almost surely, 2^{2752509342049} is an apocalyptic number.

It is an amenable number.

2752509342049 is a deficient number, since it is larger than the sum of its proper divisors (1).

2752509342049 is an equidigital number, since it uses as much as digits as its factorization.

2752509342049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5443200, while the sum is 52.

The spelling of 2752509342049 in words is "two trillion, seven hundred fifty-two billion, five hundred nine million, three hundred forty-two thousand, forty-nine".