29813928772753 has 2 divisors, whose sum is σ = 29813928772754. Its totient is φ = 29813928772752.

The previous prime is 29813928772717. The next prime is 29813928772783. The reversal of 29813928772753 is 35727782931892.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22442882961664 + 7371045811089 = 4737392^2 + 2714967^2 .

It is a cyclic number.

It is not a de Polignac number, because 29813928772753 - 2²⁵ = 29813895218321 is a prime.

It is not a weakly prime, because it can be changed into another prime (29813928772783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14906964386376 + 14906964386377.

It is an arithmetic number, because the mean of its divisors is an integer number (14906964386377).

Almost surely, 2^{29813928772753} is an apocalyptic number.

It is an amenable number.

29813928772753 is a deficient number, since it is larger than the sum of its proper divisors (1).

29813928772753 is an equidigital number, since it uses as much as digits as its factorization.

29813928772753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 640120320, while the sum is 73.

The spelling of 29813928772753 in words is "twenty-nine trillion, eight hundred thirteen billion, nine hundred twenty-eight million, seven hundred seventy-two thousand, seven hundred fifty-three".