13535010 has 48 divisors (see below), whose sum is σ = 35563320. Its totient is φ = 3571200.

The previous prime is 13534993. The next prime is 13535021. The reversal of 13535010 is 1053531.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12173121 + 1361889 = 3489^2 + 1167^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8346 + ... + 9834.

Almost surely, 2^13535010 is an apocalyptic number.

13535010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13535010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17781660).

13535010 is an abundant number, since it is smaller than the sum of its proper divisors (22028310).

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

13535010 is a wasteful number, since it uses less digits than its factorization.

13535010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 13535010 is about 3678.9957868962. The cubic root of 13535010 is about 238.3158131230.

Adding to 13535010 its reverse (1053531), we get a palindrome (14588541).

The spelling of 13535010 in words is "thirteen million, five hundred thirty-five thousand, ten".