4011111012257 has 2 divisors, whose sum is σ = 4011111012258. Its totient is φ = 4011111012256.

The previous prime is 4011111012199. The next prime is 4011111012281. The reversal of 4011111012257 is 7522101111104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3657614175121 + 353496837136 = 1912489^2 + 594556^2 .

It is a cyclic number.

It is not a de Polignac number, because 4011111012257 - 2⁶ = 4011111012193 is a prime.

It is not a weakly prime, because it can be changed into another prime (4011111612257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2005555506128 + 2005555506129.

It is an arithmetic number, because the mean of its divisors is an integer number (2005555506129).

Almost surely, 2^{4011111012257} is an apocalyptic number.

It is an amenable number.

4011111012257 is a deficient number, since it is larger than the sum of its proper divisors (1).

4011111012257 is an equidigital number, since it uses as much as digits as its factorization.

4011111012257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 26.

The spelling of 4011111012257 in words is "four trillion, eleven billion, one hundred eleven million, twelve thousand, two hundred fifty-seven".