10561729321 has 32 divisors (see below), whose sum is σ = 12683575296. Its totient is φ = 8668296000.

The previous prime is 10561729319. The next prime is 10561729369. The reversal of 10561729321 is 12392716501.

10561729321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10561729321 - 2¹ = 10561729319 is a prime.

It is a super-2 number, since 2×10561729321² (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 (10561729301) 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 31 ways as a sum of consecutive naturals, for example, 1285336 + ... + 1293526.

It is an arithmetic number, because the mean of its divisors is an integer number (396361728).

Almost surely, 2^10561729321 is an apocalyptic number.

10561729321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10561729321 is a deficient number, since it is larger than the sum of its proper divisors (2121845975).

10561729321 is a wasteful number, since it uses less digits than its factorization.

10561729321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8413.

The product of its (nonzero) digits is 22680, while the sum is 37.

The spelling of 10561729321 in words is "ten billion, five hundred sixty-one million, seven hundred twenty-nine thousand, three hundred twenty-one".