1157006657 has 2 divisors, whose sum is σ = 1157006658. Its totient is φ = 1157006656.

The previous prime is 1157006597. The next prime is 1157006659. The reversal of 1157006657 is 7566007511.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 648007936 + 508998721 = 25456^2 + 22561^2 .

It is a cyclic number.

It is not a de Polignac number, because 1157006657 - 2¹⁸ = 1156744513 is a prime.

Together with 1157006659, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1157006657.

It is not a weakly prime, because it can be changed into another prime (1157006659) 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, 578503328 + 578503329.

It is an arithmetic number, because the mean of its divisors is an integer number (578503329).

Almost surely, 2^1157006657 is an apocalyptic number.

It is an amenable number.

1157006657 is a deficient number, since it is larger than the sum of its proper divisors (1).

1157006657 is an equidigital number, since it uses as much as digits as its factorization.

1157006657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 44100, while the sum is 38.

The square root of 1157006657 is about 34014.8005579924. The cubic root of 1157006657 is about 1049.8130149272.

The spelling of 1157006657 in words is "one billion, one hundred fifty-seven million, six thousand, six hundred fifty-seven".