13052305305 has 192 divisors, whose sum is σ = 27692824320. Its totient is φ = 5777823744.

The previous prime is 13052305261. The next prime is 13052305313. The reversal of 13052305305 is 50350325031.

13052305305 is a `hidden beast` number, since 1 + 3 + 0 + 52 + 305 + 305 = 666.

It is not a de Polignac number, because 13052305305 - 2¹² = 13052301209 is a prime.

It is a super-2 number, since 2×13052305305² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15782302 + ... + 15783128.

It is an arithmetic number, because the mean of its divisors is an integer number (144233460).

Almost surely, 2^13052305305 is an apocalyptic number.

13052305305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13052305305 is an abundant number, since it is smaller than the sum of its proper divisors (14640519015).

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

13052305305 is a wasteful number, since it uses less digits than its factorization.

13052305305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The spelling of 13052305305 in words is "thirteen billion, fifty-two million, three hundred five thousand, three hundred five".