13056261696 has 245 divisors, whose sum is σ = 40610684971. Its totient is φ = 4162866048.

The previous prime is 13056261679. The next prime is 13056261721. The reversal of 13056261696 is 69616265031.

The square root of 13056261696 is 114264.

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

13056261696 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 626 + 16 + 9 + 6 = 666.

It is a Duffinian number.

It is a nialpdrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 567663541 + ... + 567663563.

Almost surely, 2^13056261696 is an apocalyptic number.

13056261696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13056261696 is the 114264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13056261696

13056261696 is an abundant number, since it is smaller than the sum of its proper divisors (27554423275).

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

13056261696 is an frugal number, since it uses more digits than its factorization.

13056261696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 13056261696 in words is "thirteen billion, fifty-six million, two hundred sixty-one thousand, six hundred ninety-six".