247633007129 has 2 divisors, whose sum is σ = 247633007130. Its totient is φ = 247633007128.

The previous prime is 247633007123. The next prime is 247633007147. The reversal of 247633007129 is 921700336742.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 247259551504 + 373455625 = 497252^2 + 19325^2 .

It is a cyclic number.

It is not a de Polignac number, because 247633007129 - 2²⁸ = 247364571673 is a prime.

It is a super-2 number, since 2×247633007129² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 247633007129.

It is not a weakly prime, because it can be changed into another prime (247633007123) 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, 123816503564 + 123816503565.

It is an arithmetic number, because the mean of its divisors is an integer number (123816503565).

Almost surely, 2^247633007129 is an apocalyptic number.

It is an amenable number.

247633007129 is a deficient number, since it is larger than the sum of its proper divisors (1).

247633007129 is an equidigital number, since it uses as much as digits as its factorization.

247633007129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 381024, while the sum is 44.

The spelling of 247633007129 in words is "two hundred forty-seven billion, six hundred thirty-three million, seven thousand, one hundred twenty-nine".