4627073006833 has 2 divisors, whose sum is σ = 4627073006834. Its totient is φ = 4627073006832.

The previous prime is 4627073006791. The next prime is 4627073006839. The reversal of 4627073006833 is 3386003707264.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3398540181169 + 1228532825664 = 1843513^2 + 1108392^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4627073006833 is a prime.

It is a super-2 number, since 2×4627073006833² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4627073006839) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2313536503416 + 2313536503417.

It is an arithmetic number, because the mean of its divisors is an integer number (2313536503417).

Almost surely, 2^{4627073006833} is an apocalyptic number.

It is an amenable number.

4627073006833 is a deficient number, since it is larger than the sum of its proper divisors (1).

4627073006833 is an equidigital number, since it uses as much as digits as its factorization.

4627073006833 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3048192, while the sum is 49.

The spelling of 4627073006833 in words is "four trillion, six hundred twenty-seven billion, seventy-three million, six thousand, eight hundred thirty-three".