1011657089 has 2 divisors, whose sum is σ = 1011657090. Its totient is φ = 1011657088.

The previous prime is 1011657067. The next prime is 1011657091. The reversal of 1011657089 is 9807561101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 812706064 + 198951025 = 28508^2 + 14105^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011657089 - 2²⁰ = 1010608513 is a prime.

Together with 1011657091, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1011657019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505828544 + 505828545.

It is an arithmetic number, because the mean of its divisors is an integer number (505828545).

Almost surely, 2^1011657089 is an apocalyptic number.

It is an amenable number.

1011657089 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011657089 is an equidigital number, since it uses as much as digits as its factorization.

1011657089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 38.

The square root of 1011657089 is about 31806.5573270670. The cubic root of 1011657089 is about 1003.8706947251.

The spelling of 1011657089 in words is "one billion, eleven million, six hundred fifty-seven thousand, eighty-nine".