13405424335025 has 12 divisors (see below), whose sum is σ = 16626188670924. Its totient is φ = 10722105600000.

The previous prime is 13405424335003. The next prime is 13405424335087. The reversal of 13405424335025 is 52053342450431.

It can be written as a sum of positive squares in 6 ways, for example, as 1022056297024 + 12383368038001 = 1010968^2 + 3519001^2 .

It is not a de Polignac number, because 13405424335025 - 2²⁴ = 13405407557809 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 55724276 + ... + 55964325.

It is an arithmetic number, because the mean of its divisors is an integer number (1385515722577).

Almost surely, 2^{13405424335025} is an apocalyptic number.

It is an amenable number.

13405424335025 is a deficient number, since it is larger than the sum of its proper divisors (3220764335899).

13405424335025 is a wasteful number, since it uses less digits than its factorization.

13405424335025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111693412 (or 111693407 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 41.

Adding to 13405424335025 its reverse (52053342450431), we get a palindrome (65458766785456).

The spelling of 13405424335025 in words is "thirteen trillion, four hundred five billion, four hundred twenty-four million, three hundred thirty-five thousand, twenty-five".