1005135889 has 2 divisors, whose sum is σ = 1005135890. Its totient is φ = 1005135888.

The previous prime is 1005135871. The next prime is 1005135899. The reversal of 1005135889 is 9885315001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 996033600 + 9102289 = 31560^2 + 3017^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005135889 is a prime.

It is not a weakly prime, because it can be changed into another prime (1005135899) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502567944 + 502567945.

It is an arithmetic number, because the mean of its divisors is an integer number (502567945).

Almost surely, 2^1005135889 is an apocalyptic number.

It is an amenable number.

1005135889 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005135889 is an equidigital number, since it uses as much as digits as its factorization.

1005135889 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 43200, while the sum is 40.

The square root of 1005135889 is about 31703.8781381710. The cubic root of 1005135889 is about 1001.7090405166.

The spelling of 1005135889 in words is "one billion, five million, one hundred thirty-five thousand, eight hundred eighty-nine".