13405510041125 has 32 divisors (see below), whose sum is σ = 16783315147872. Its totient is φ = 10690301952000.

The previous prime is 13405510041071. The next prime is 13405510041191. The reversal of 13405510041125 is 52114001550431.

It can be written as a sum of positive squares in 16 ways, for example, as 4974117654529 + 8431392386596 = 2230273^2 + 2903686^2 .

It is not a de Polignac number, because 13405510041125 - 2⁶ = 13405510041061 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13405510041091 and 13405510041100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130249685 + ... + 130352565.

It is an arithmetic number, because the mean of its divisors is an integer number (524478598371).

Almost surely, 2^{13405510041125} is an apocalyptic number.

It is an amenable number.

13405510041125 is a deficient number, since it is larger than the sum of its proper divisors (3377805106747).

13405510041125 is a wasteful number, since it uses less digits than its factorization.

13405510041125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106202 (or 106192 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

Adding to 13405510041125 its reverse (52114001550431), we get a palindrome (65519511591556).

The spelling of 13405510041125 in words is "thirteen trillion, four hundred five billion, five hundred ten million, forty-one thousand, one hundred twenty-five".