1005137207 has 2 divisors, whose sum is σ = 1005137208. Its totient is φ = 1005137206.

The previous prime is 1005137173. The next prime is 1005137233. The reversal of 1005137207 is 7027315001.

It is an a-pointer prime, because the next prime (1005137233) can be obtained adding 1005137207 to its sum of digits (26).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1005137207 - 2¹² = 1005133111 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005137267) 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, 502568603 + 502568604.

It is an arithmetic number, because the mean of its divisors is an integer number (502568604).

Almost surely, 2^1005137207 is an apocalyptic number.

1005137207 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005137207 is an equidigital number, since it uses as much as digits as its factorization.

1005137207 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 1005137207 is about 31703.8989242648. The cubic root of 1005137207 is about 1001.7094783519.

The spelling of 1005137207 in words is "one billion, five million, one hundred thirty-seven thousand, two hundred seven".