9002825729 has 2 divisors, whose sum is σ = 9002825730. Its totient is φ = 9002825728.

The previous prime is 9002825687. The next prime is 9002825827. The reversal of 9002825729 is 9275282009.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8991401329 + 11424400 = 94823^2 + 3380^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9002825729 is a prime.

It is a super-2 number, since 2×9002825729² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9002825729.

It is not a weakly prime, because it can be changed into another prime (9002825329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4501412864 + 4501412865.

It is an arithmetic number, because the mean of its divisors is an integer number (4501412865).

Almost surely, 2^9002825729 is an apocalyptic number.

It is an amenable number.

9002825729 is a deficient number, since it is larger than the sum of its proper divisors (1).

9002825729 is an equidigital number, since it uses as much as digits as its factorization.

9002825729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 44.

The square root of 9002825729 is about 94883.2215357383. The cubic root of 9002825729 is about 2080.3014948350.

The spelling of 9002825729 in words is "nine billion, two million, eight hundred twenty-five thousand, seven hundred twenty-nine".