2028011072657 has 2 divisors, whose sum is σ = 2028011072658. Its totient is φ = 2028011072656.

The previous prime is 2028011072599. The next prime is 2028011072669. The reversal of 2028011072657 is 7562701108202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1879322941456 + 148688131201 = 1370884^2 + 385601^2 .

It is a cyclic number.

It is not a de Polignac number, because 2028011072657 - 2²² = 2028006878353 is a prime.

It is a super-2 number, since 2×2028011072657² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2028011074657) 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, 1014005536328 + 1014005536329.

It is an arithmetic number, because the mean of its divisors is an integer number (1014005536329).

Almost surely, 2^{2028011072657} is an apocalyptic number.

It is an amenable number.

2028011072657 is a deficient number, since it is larger than the sum of its proper divisors (1).

2028011072657 is an equidigital number, since it uses as much as digits as its factorization.

2028011072657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 94080, while the sum is 41.

The spelling of 2028011072657 in words is "two trillion, twenty-eight billion, eleven million, seventy-two thousand, six hundred fifty-seven".