245310418793129 has 2 divisors, whose sum is σ = 245310418793130. Its totient is φ = 245310418793128.

The previous prime is 245310418793101. The next prime is 245310418793131. The reversal of 245310418793129 is 921397814013542.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 164427790243600 + 80882628549529 = 12822940^2 + 8993477^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-245310418793129 is a prime.

It is a super-4 number, since 4×245310418793129⁴ (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

Together with 245310418793131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (245310418733129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 122655209396564 + 122655209396565.

It is an arithmetic number, because the mean of its divisors is an integer number (122655209396565).

Almost surely, 2^{245310418793129} is an apocalyptic number.

It is an amenable number.

245310418793129 is a deficient number, since it is larger than the sum of its proper divisors (1).

245310418793129 is an equidigital number, since it uses as much as digits as its factorization.

245310418793129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13063680, while the sum is 59.

The spelling of 245310418793129 in words is "two hundred forty-five trillion, three hundred ten billion, four hundred eighteen million, seven hundred ninety-three thousand, one hundred twenty-nine".