1005631009 has 2 divisors, whose sum is σ = 1005631010. Its totient is φ = 1005631008.

The previous prime is 1005630973. The next prime is 1005631019. The reversal of 1005631009 is 9001365001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 812421009 + 193210000 = 28503^2 + 13900^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005631009 - 2¹¹ = 1005628961 is a prime.

It is a super-2 number, since 2×1005631009² = 2022587452524716162, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1005631019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502815504 + 502815505.

It is an arithmetic number, because the mean of its divisors is an integer number (502815505).

Almost surely, 2^1005631009 is an apocalyptic number.

It is an amenable number.

1005631009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005631009 is an equidigital number, since it uses as much as digits as its factorization.

1005631009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 1005631009 is about 31711.6856852486. The cubic root of 1005631009 is about 1001.8734908401.

The spelling of 1005631009 in words is "one billion, five million, six hundred thirty-one thousand, nine".