13505254245 has 192 divisors, whose sum is σ = 29487144960. Its totient is φ = 5580057600.

The previous prime is 13505254237. The next prime is 13505254247. The reversal of 13505254245 is 54245250531.

13505254245 is a `hidden beast` number, since 1 + 3 + 50 + 525 + 42 + 45 = 666.

It is not a de Polignac number, because 13505254245 - 2³ = 13505254237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13505254247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11532510 + ... + 11533680.

It is an arithmetic number, because the mean of its divisors is an integer number (153578880).

Almost surely, 2^13505254245 is an apocalyptic number.

13505254245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13505254245 is an abundant number, since it is smaller than the sum of its proper divisors (15981890715).

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

13505254245 is a wasteful number, since it uses less digits than its factorization.

13505254245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 13505254245 in words is "thirteen billion, five hundred five million, two hundred fifty-four thousand, two hundred forty-five".