10355135256565 has 32 divisors (see below), whose sum is σ = 13584202549632. Its totient is φ = 7515244800000.

The previous prime is 10355135256547. The next prime is 10355135256569. The reversal of 10355135256565 is 56565253155301.

It is not a de Polignac number, because 10355135256565 - 2³⁵ = 10320775518197 is a prime.

It is a super-3 number, since 3×10355135256565³ (a number of 40 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10355135256569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94191469 + ... + 94301341.

It is an arithmetic number, because the mean of its divisors is an integer number (424506329676).

Almost surely, 2^{10355135256565} is an apocalyptic number.

It is an amenable number.

10355135256565 is a deficient number, since it is larger than the sum of its proper divisors (3229067293067).

10355135256565 is a wasteful number, since it uses less digits than its factorization.

10355135256565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113461.

The product of its (nonzero) digits is 10125000, while the sum is 52.

The spelling of 10355135256565 in words is "ten trillion, three hundred fifty-five billion, one hundred thirty-five million, two hundred fifty-six thousand, five hundred sixty-five".