12435563621261 has 16 divisors (see below), whose sum is σ = 13777661495808. Its totient is φ = 11128954465200.

The previous prime is 12435563621251. The next prime is 12435563621279. The reversal of 12435563621261 is 16212636553421.

It is a de Polignac number, because none of the positive numbers 2^k-12435563621261 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12435563621251) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4469855 + ... + 6697068.

It is an arithmetic number, because the mean of its divisors is an integer number (861103843488).

Almost surely, 2^{12435563621261} is an apocalyptic number.

12435563621261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12435563621261 is a deficient number, since it is larger than the sum of its proper divisors (1342097874547).

12435563621261 is a wasteful number, since it uses less digits than its factorization.

12435563621261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11168512.

The product of its digits is 1555200, while the sum is 47.

The spelling of 12435563621261 in words is "twelve trillion, four hundred thirty-five billion, five hundred sixty-three million, six hundred twenty-one thousand, two hundred sixty-one".