10288409351 has 16 divisors (see below), whose sum is σ = 11819088000. Its totient is φ = 8857346400.

The previous prime is 10288409293. The next prime is 10288409377. The reversal of 10288409351 is 15390488201.

10288409351 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10288409351 - 2²² = 10284215047 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10288409299 and 10288409308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10288403351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 621125 + ... + 637473.

It is an arithmetic number, because the mean of its divisors is an integer number (738693000).

Almost surely, 2^10288409351 is an apocalyptic number.

10288409351 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10288409351 is a deficient number, since it is larger than the sum of its proper divisors (1530678649).

10288409351 is a wasteful number, since it uses less digits than its factorization.

10288409351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19390.

The product of its (nonzero) digits is 69120, while the sum is 41.

The spelling of 10288409351 in words is "ten billion, two hundred eighty-eight million, four hundred nine thousand, three hundred fifty-one".