1005264629 has 2 divisors, whose sum is σ = 1005264630. Its totient is φ = 1005264628.

The previous prime is 1005264607. The next prime is 1005264643. The reversal of 1005264629 is 9264625001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 992124004 + 13140625 = 31498^2 + 3625^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005264629 - 2²⁴ = 988487413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005264649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502632314 + 502632315.

It is an arithmetic number, because the mean of its divisors is an integer number (502632315).

Almost surely, 2^1005264629 is an apocalyptic number.

It is an amenable number.

1005264629 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005264629 is an equidigital number, since it uses as much as digits as its factorization.

1005264629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 1005264629 is about 31705.9084241408. The cubic root of 1005264629 is about 1001.7518057181.

The spelling of 1005264629 in words is "one billion, five million, two hundred sixty-four thousand, six hundred twenty-nine".