13205152540 has 24 divisors (see below), whose sum is σ = 27825477120. Its totient is φ = 5264031168.

The previous prime is 13205152537. The next prime is 13205152547. The reversal of 13205152540 is 4525150231.

It is a junction number, because it is equal to n+sod(n) for n = 13205152499 and 13205152508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13205152547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1120860 + ... + 1132579.

It is an arithmetic number, because the mean of its divisors is an integer number (1159394880).

Almost surely, 2^13205152540 is an apocalyptic number.

13205152540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13205152540 is an abundant number, since it is smaller than the sum of its proper divisors (14620324580).

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

13205152540 is a wasteful number, since it uses less digits than its factorization.

13205152540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253741 (or 2253739 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 13205152540 in words is "thirteen billion, two hundred five million, one hundred fifty-two thousand, five hundred forty".