1005505729 has 2 divisors, whose sum is σ = 1005505730. Its totient is φ = 1005505728.

The previous prime is 1005505727. The next prime is 1005505769. The reversal of 1005505729 is 9275055001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 988473600 + 17032129 = 31440^2 + 4127^2 .

It is an emirp because it is prime and its reverse (9275055001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1005505729 - 2¹ = 1005505727 is a prime.

It is a super-2 number, since 2×1005505729² = 2022083542103642882, which contains 22 as substring.

Together with 1005505727, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1005505694 and 1005505703.

It is not a weakly prime, because it can be changed into another prime (1005505727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502752864 + 502752865.

It is an arithmetic number, because the mean of its divisors is an integer number (502752865).

Almost surely, 2^1005505729 is an apocalyptic number.

It is an amenable number.

1005505729 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005505729 is an equidigital number, since it uses as much as digits as its factorization.

1005505729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15750, while the sum is 34.

The square root of 1005505729 is about 31709.7103266492. The cubic root of 1005505729 is about 1001.8318851477.

The spelling of 1005505729 in words is "one billion, five million, five hundred five thousand, seven hundred twenty-nine".