1012585073 has 2 divisors, whose sum is σ = 1012585074. Its totient is φ = 1012585072.

The previous prime is 1012585019. The next prime is 1012585103. The reversal of 1012585073 is 3705852101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 735928384 + 276656689 = 27128^2 + 16633^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012585073 - 2⁶ = 1012585009 is a prime.

It is not a weakly prime, because it can be changed into another prime (1012582073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506292536 + 506292537.

It is an arithmetic number, because the mean of its divisors is an integer number (506292537).

Almost surely, 2^1012585073 is an apocalyptic number.

It is an amenable number.

1012585073 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012585073 is an equidigital number, since it uses as much as digits as its factorization.

1012585073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 1012585073 is about 31821.1419185421. The cubic root of 1012585073 is about 1004.1775481230.

The spelling of 1012585073 in words is "one billion, twelve million, five hundred eighty-five thousand, seventy-three".