1005144557 has 2 divisors, whose sum is σ = 1005144558. Its totient is φ = 1005144556.

The previous prime is 1005144521. The next prime is 1005144559. The reversal of 1005144557 is 7554415001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 830534761 + 174609796 = 28819^2 + 13214^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005144557 - 2¹⁶ = 1005079021 is a prime.

Together with 1005144559, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005144559) 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, 502572278 + 502572279.

It is an arithmetic number, because the mean of its divisors is an integer number (502572279).

Almost surely, 2^1005144557 is an apocalyptic number.

It is an amenable number.

1005144557 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005144557 is an equidigital number, since it uses as much as digits as its factorization.

1005144557 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14000, while the sum is 32.

The square root of 1005144557 is about 31704.0148403952. The cubic root of 1005144557 is about 1001.7119199909.

Adding to 1005144557 its reverse (7554415001), we get a palindrome (8559559558).

The spelling of 1005144557 in words is "one billion, five million, one hundred forty-four thousand, five hundred fifty-seven".