13123521625305 has 48 divisors (see below), whose sum is σ = 26304729079104. Its totient is φ = 5537837692800.

The previous prime is 13123521625289. The next prime is 13123521625307. The reversal of 13123521625305 is 50352612532131.

It is not a de Polignac number, because 13123521625305 - 2⁴ = 13123521625289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (13123521625307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 686726271 + ... + 686745380.

It is an arithmetic number, because the mean of its divisors is an integer number (548015189148).

Almost surely, 2^{13123521625305} is an apocalyptic number.

13123521625305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13123521625305 is an abundant number, since it is smaller than the sum of its proper divisors (13181207453799).

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

13123521625305 is a wasteful number, since it uses less digits than its factorization.

13123521625305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373471686 (or 1373471679 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The spelling of 13123521625305 in words is "thirteen trillion, one hundred twenty-three billion, five hundred twenty-one million, six hundred twenty-five thousand, three hundred five".