1005731225599 has 2 divisors, whose sum is σ = 1005731225600. Its totient is φ = 1005731225598.

The previous prime is 1005731225579. The next prime is 1005731225617. The reversal of 1005731225599 is 9955221375001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1005731225599 - 2³⁵ = 971371487231 is a prime.

It is a super-2 number, since 2×1005731225599² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005731225509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502865612799 + 502865612800.

It is an arithmetic number, because the mean of its divisors is an integer number (502865612800).

Almost surely, 2^{1005731225599} is an apocalyptic number.

1005731225599 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005731225599 is an equidigital number, since it uses as much as digits as its factorization.

1005731225599 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 850500, while the sum is 49.

The spelling of 1005731225599 in words is "one trillion, five billion, seven hundred thirty-one million, two hundred twenty-five thousand, five hundred ninety-nine".