3536534356353 has 16 divisors (see below), whose sum is σ = 5239923786240. Its totient is φ = 2357413438032.

The previous prime is 3536534356321. The next prime is 3536534356379.

3536534356353 is a `hidden beast` number, since 3 + 5 + 3 + 6 + 534 + 3 + 56 + 3 + 53 = 666.

3536534356353 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3536534356353 - 2⁵ = 3536534356321 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3536534356353.

It is not an unprimeable number, because it can be changed into a prime (3536534356253) 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, 7435426 + ... + 7896747.

It is an arithmetic number, because the mean of its divisors is an integer number (327495236640).

Almost surely, 2^{3536534356353} is an apocalyptic number.

It is an amenable number.

3536534356353 is a deficient number, since it is larger than the sum of its proper divisors (1703389429887).

3536534356353 is a wasteful number, since it uses less digits than its factorization.

3536534356353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15340725 (or 15340719 counting only the distinct ones).

The product of its digits is 65610000, while the sum is 54.

The spelling of 3536534356353 in words is "three trillion, five hundred thirty-six billion, five hundred thirty-four million, three hundred fifty-six thousand, three hundred fifty-three".