1017005657 has 2 divisors, whose sum is σ = 1017005658. Its totient is φ = 1017005656.

The previous prime is 1017005641. The next prime is 1017005659. The reversal of 1017005657 is 7565007101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 957345481 + 59660176 = 30941^2 + 7724^2 .

It is a cyclic number.

It is not a de Polignac number, because 1017005657 - 2⁴ = 1017005641 is a prime.

Together with 1017005659, 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 (1017005659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 508502828 + 508502829.

It is an arithmetic number, because the mean of its divisors is an integer number (508502829).

Almost surely, 2^1017005657 is an apocalyptic number.

It is an amenable number.

1017005657 is a deficient number, since it is larger than the sum of its proper divisors (1).

1017005657 is an equidigital number, since it uses as much as digits as its factorization.

1017005657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7350, while the sum is 32.

The square root of 1017005657 is about 31890.5261323798. The cubic root of 1017005657 is about 1005.6367200229.

The spelling of 1017005657 in words is "one billion, seventeen million, five thousand, six hundred fifty-seven".