10288824049 has 6 divisors (see below), whose sum is σ = 11968632114. Its totient is φ = 8818992000.

The previous prime is 10288824037. The next prime is 10288824103. The reversal of 10288824049 is 94042888201.

It can be written as a sum of positive squares in only one way, i.e., 5340686400 + 4948137649 = 73080^2 + 70343^2 .

It is not a de Polignac number, because 10288824049 - 2¹⁷ = 10288692977 is a prime.

It is a super-2 number, since 2×10288824049² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10288824149) 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 5 ways as a sum of consecutive naturals, for example, 104987952 + ... + 104988049.

It is an arithmetic number, because the mean of its divisors is an integer number (1994772019).

Almost surely, 2^10288824049 is an apocalyptic number.

It is an amenable number.

10288824049 is a deficient number, since it is larger than the sum of its proper divisors (1679808065).

10288824049 is an equidigital number, since it uses as much as digits as its factorization.

10288824049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209976015 (or 209976008 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 46.

The spelling of 10288824049 in words is "ten billion, two hundred eighty-eight million, eight hundred twenty-four thousand, forty-nine".