13505416 has 32 divisors (see below), whose sum is σ = 27345600. Its totient is φ = 6233920.

The previous prime is 13505413. The next prime is 13505423. The reversal of 13505416 is 61450531.

It is a super-2 number, since 2×13505416² = 364792522666112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13505411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4071 + ... + 6601.

It is an arithmetic number, because the mean of its divisors is an integer number (854550).

Almost surely, 2^13505416 is an apocalyptic number.

It is an amenable number.

13505416 is an abundant number, since it is smaller than the sum of its proper divisors (13840184).

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

13505416 is a wasteful number, since it uses less digits than its factorization.

13505416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 13505416 is about 3674.9715645158. The cubic root of 13505416 is about 238.1419956272.

Adding to 13505416 its reverse (61450531), we get a palindrome (74955947).

The spelling of 13505416 in words is "thirteen million, five hundred five thousand, four hundred sixteen".