2004728257117 has 2 divisors, whose sum is σ = 2004728257118. Its totient is φ = 2004728257116.

The previous prime is 2004728256991. The next prime is 2004728257141. The reversal of 2004728257117 is 7117528274002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1846090146681 + 158638110436 = 1358709^2 + 398294^2 .

It is a cyclic number.

It is not a de Polignac number, because 2004728257117 - 2¹⁵ = 2004728224349 is a prime.

It is a super-2 number, since 2×2004728257117² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2004728257177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002364128558 + 1002364128559.

It is an arithmetic number, because the mean of its divisors is an integer number (1002364128559).

Almost surely, 2^{2004728257117} is an apocalyptic number.

It is an amenable number.

2004728257117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2004728257117 is an equidigital number, since it uses as much as digits as its factorization.

2004728257117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 439040, while the sum is 46.

The spelling of 2004728257117 in words is "two trillion, four billion, seven hundred twenty-eight million, two hundred fifty-seven thousand, one hundred seventeen".