13535004 has 48 divisors (see below), whose sum is σ = 36288000. Its totient is φ = 3846336.

The previous prime is 13534993. The next prime is 13535021. The reversal of 13535004 is 40053531.

13535004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22297 + ... + 22895.

It is an arithmetic number, because the mean of its divisors is an integer number (756000).

Almost surely, 2^13535004 is an apocalyptic number.

13535004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13535004 is an abundant number, since it is smaller than the sum of its proper divisors (22752996).

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

13535004 is a wasteful number, since it uses less digits than its factorization.

13535004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 13535004 is about 3678.9949714562. The cubic root of 13535004 is about 238.3157779083.

Adding to 13535004 its reverse (40053531), we get a palindrome (53588535).

The spelling of 13535004 in words is "thirteen million, five hundred thirty-five thousand, four".