1001605057 has 2 divisors, whose sum is σ = 1001605058. Its totient is φ = 1001605056.

The previous prime is 1001605013. The next prime is 1001605079. The reversal of 1001605057 is 7505061001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 998812816 + 2792241 = 31604^2 + 1671^2 .

It is an emirp because it is prime and its reverse (7505061001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001605057 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001605097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500802528 + 500802529.

It is an arithmetic number, because the mean of its divisors is an integer number (500802529).

Almost surely, 2^1001605057 is an apocalyptic number.

It is an amenable number.

1001605057 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001605057 is an equidigital number, since it uses as much as digits as its factorization.

1001605057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1050, while the sum is 25.

The square root of 1001605057 is about 31648.1446059639. The cubic root of 1001605057 is about 1000.5347330096.

Adding to 1001605057 its reverse (7505061001), we get a palindrome (8506666058).

The spelling of 1001605057 in words is "one billion, one million, six hundred five thousand, fifty-seven".