13506235610406 has 64 divisors (see below), whose sum is σ = 34248697896960. Its totient is φ = 3448653593760.

The previous prime is 13506235610401. The next prime is 13506235610423. The reversal of 13506235610406 is 60401653260531.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13506235610401) 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 31 ways as a sum of consecutive naturals, for example, 247720846 + ... + 247775361.

It is an arithmetic number, because the mean of its divisors is an integer number (535135904640).

Almost surely, 2^{13506235610406} is an apocalyptic number.

13506235610406 is an abundant number, since it is smaller than the sum of its proper divisors (20742462286554).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13506235610406 is a wasteful number, since it uses less digits than its factorization.

13506235610406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495496289.

The product of its (nonzero) digits is 388800, while the sum is 42.

Adding to 13506235610406 its reverse (60401653260531), we get a palindrome (73907888870937).

It can be divided in two parts, 13506235 and 610406, that added together give a triangular number (14116641 = T₅₃₁₃).

The spelling of 13506235610406 in words is "thirteen trillion, five hundred six billion, two hundred thirty-five million, six hundred ten thousand, four hundred six".