13521035034 has 192 divisors, whose sum is σ = 34271965728. Its totient is φ = 3815424000.

The previous prime is 13521034973. The next prime is 13521035069. The reversal of 13521035034 is 43053012531.

13521035034 is a `hidden beast` number, since 1 + 3 + 52 + 103 + 503 + 4 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 4064445009 + 9456590025 = 63753^2 + 97245^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13521034989 and 13521035007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29329564 + ... + 29330024.

Almost surely, 2^13521035034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13521035034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17135982864).

13521035034 is an abundant number, since it is smaller than the sum of its proper divisors (20750930694).

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

13521035034 is a wasteful number, since it uses less digits than its factorization.

13521035034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 13521035034 its reverse (43053012531), we get a palindrome (56574047565).

It can be divided in two parts, 135210350 and 34, that added together give a square (135210384 = 11628²).

The spelling of 13521035034 in words is "thirteen billion, five hundred twenty-one million, thirty-five thousand, thirty-four".