2077116001 has 2 divisors, whose sum is σ = 2077116002. Its totient is φ = 2077116000.

The previous prime is 2077115921. The next prime is 2077116011. The reversal of 2077116001 is 1006117702.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1445900625 + 631215376 = 38025^2 + 25124^2 .

It is a cyclic number.

It is not a de Polignac number, because 2077116001 - 2¹⁵ = 2077083233 is a prime.

It is a super-2 number, since 2×2077116001² = 8628821763220464002, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2077116011) 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, 1038558000 + 1038558001.

It is an arithmetic number, because the mean of its divisors is an integer number (1038558001).

Almost surely, 2^2077116001 is an apocalyptic number.

It is an amenable number.

2077116001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2077116001 is an equidigital number, since it uses as much as digits as its factorization.

2077116001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 588, while the sum is 25.

The square root of 2077116001 is about 45575.3881058626. The cubic root of 2077116001 is about 1275.9106145806.

The spelling of 2077116001 in words is "two billion, seventy-seven million, one hundred sixteen thousand, one".