13261364964 has 81 divisors (see below), whose sum is σ = 35641214427. Its totient is φ = 4156743168.

The previous prime is 13261364933. The next prime is 13261364969. The reversal of 13261364964 is 46946316231.

The square root of 13261364964 is 115158.

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

13261364964 is a `hidden beast` number, since 1 + 3 + 26 + 136 + 496 + 4 = 666.

13261364964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 494172900 + 12767192064 = 22230^2 + 112992^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13261364969) 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 26 ways as a sum of consecutive naturals, for example, 11745552 + ... + 11746680.

Almost surely, 2^13261364964 is an apocalyptic number.

13261364964 is the 115158-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13261364964

13261364964 is an abundant number, since it is smaller than the sum of its proper divisors (22379849463).

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

13261364964 is a wasteful number, since it uses less digits than its factorization.

13261364964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 1151 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

It can be divided in two parts, 13261 and 364964, that added together give a square (378225 = 615²).

The spelling of 13261364964 in words is "thirteen billion, two hundred sixty-one million, three hundred sixty-four thousand, nine hundred sixty-four".