2505041350309 has 2 divisors, whose sum is σ = 2505041350310. Its totient is φ = 2505041350308.

The previous prime is 2505041350243. The next prime is 2505041350321. The reversal of 2505041350309 is 9030531405052.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2487175018084 + 17866332225 = 1577078^2 + 133665^2 .

It is a cyclic number.

It is not a de Polignac number, because 2505041350309 - 2¹³ = 2505041342117 is a prime.

It is a super-3 number, since 3×2505041350309³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2505041350349) 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, 1252520675154 + 1252520675155.

It is an arithmetic number, because the mean of its divisors is an integer number (1252520675155).

Almost surely, 2^{2505041350309} is an apocalyptic number.

It is an amenable number.

2505041350309 is a deficient number, since it is larger than the sum of its proper divisors (1).

2505041350309 is an equidigital number, since it uses as much as digits as its factorization.

2505041350309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81000, while the sum is 37.

The spelling of 2505041350309 in words is "two trillion, five hundred five billion, forty-one million, three hundred fifty thousand, three hundred nine".