1005136507 has 2 divisors, whose sum is σ = 1005136508. Its totient is φ = 1005136506.

The previous prime is 1005136453. The next prime is 1005136553. The reversal of 1005136507 is 7056315001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1005136507 - 2¹⁵ = 1005103739 is a prime.

It is a super-2 number, since 2×1005136507² = 2020598795408322098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1005146507) 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, 502568253 + 502568254.

It is an arithmetic number, because the mean of its divisors is an integer number (502568254).

Almost surely, 2^1005136507 is an apocalyptic number.

1005136507 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005136507 is an equidigital number, since it uses as much as digits as its factorization.

1005136507 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 1005136507 is about 31703.8878846112. The cubic root of 1005136507 is about 1001.7092458142.

The spelling of 1005136507 in words is "one billion, five million, one hundred thirty-six thousand, five hundred seven".