2635042705513 has 16 divisors (see below), whose sum is σ = 2802275813376. Its totient is φ = 2469170506240.

The previous prime is 2635042705499. The next prime is 2635042705571. The reversal of 2635042705513 is 3155072405362.

It is a happy number.

2635042705513 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2635042705513 - 2⁵ = 2635042705481 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2635042705513.

It is not an unprimeable number, because it can be changed into a prime (2635042775513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56630928 + ... + 56677438.

It is an arithmetic number, because the mean of its divisors is an integer number (175142238336).

Almost surely, 2^{2635042705513} is an apocalyptic number.

It is an amenable number.

2635042705513 is a deficient number, since it is larger than the sum of its proper divisors (167233107863).

2635042705513 is a wasteful number, since it uses less digits than its factorization.

2635042705513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61064.

The product of its (nonzero) digits is 756000, while the sum is 43.

The spelling of 2635042705513 in words is "two trillion, six hundred thirty-five billion, forty-two million, seven hundred five thousand, five hundred thirteen".