13735050 has 96 divisors (see below), whose sum is σ = 39616512. Its totient is φ = 3084480.

The previous prime is 13735049. The next prime is 13735061. The reversal of 13735050 is 5053731.

It is a self number, because there is not a number n which added to its sum of digits gives 13735050.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108087 + ... + 108213.

It is an arithmetic number, because the mean of its divisors is an integer number (412672).

Almost surely, 2^13735050 is an apocalyptic number.

13735050 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 13735050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19808256).

13735050 is an abundant number, since it is smaller than the sum of its proper divisors (25881462).

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

13735050 is a wasteful number, since it uses less digits than its factorization.

13735050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 24.

The square root of 13735050 is about 3706.0828377142. The cubic root of 13735050 is about 239.4841350306.

Adding to 13735050 its reverse (5053731), we get a palindrome (18788781).

The spelling of 13735050 in words is "thirteen million, seven hundred thirty-five thousand, fifty".