10319309056 has 81 divisors (see below), whose sum is σ = 23987744739. Its totient is φ = 4417684992.

The previous prime is 10319309041. The next prime is 10319309057. The reversal of 10319309056 is 65090391301.

The square root of 10319309056 is 101584.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×10319309056² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10319309057) 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 in 8 ways as a sum of consecutive naturals, for example, 11376955 + ... + 11377861.

Almost surely, 2^10319309056 is an apocalyptic number.

10319309056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10319309056 is the 101584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10319309056

10319309056 is an abundant number, since it is smaller than the sum of its proper divisors (13668435683).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10319309056 is an frugal number, since it uses more digits than its factorization.

10319309056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 37.

The spelling of 10319309056 in words is "ten billion, three hundred nineteen million, three hundred nine thousand, fifty-six".