2829527550009 has 10 divisors (see below), whose sum is σ = 4226825105690. Its totient is φ = 1886351699952.

The previous prime is 2829527550007. The next prime is 2829527550137. The reversal of 2829527550009 is 9000557259282.

It is a happy number.

2829527550009 is a `hidden beast` number, since 2 + 82 + 9 + 5 + 2 + 7 + 550 + 0 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2748300840000 + 81226710009 = 1657800^2 + 285003^2 .

It is not a de Polignac number, because 2829527550009 - 2¹ = 2829527550007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2829527550007) 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 in 9 ways as a sum of consecutive naturals, for example, 17466219364 + ... + 17466219525.

It is an arithmetic number, because the mean of its divisors is an integer number (422682510569).

Almost surely, 2^{2829527550009} is an apocalyptic number.

It is an amenable number.

2829527550009 is a deficient number, since it is larger than the sum of its proper divisors (1397297555681).

2829527550009 is an equidigital number, since it uses as much as digits as its factorization.

2829527550009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34932438901 (or 34932438892 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 2829527550009 in words is "two trillion, eight hundred twenty-nine billion, five hundred twenty-seven million, five hundred fifty thousand, nine".