13507350 has 48 divisors (see below), whose sum is σ = 35475408. Its totient is φ = 3389440.

The previous prime is 13507349. The next prime is 13507363. The reversal of 13507350 is 5370531.

13507350 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13507350.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99 + ... + 5198.

It is an arithmetic number, because the mean of its divisors is an integer number (739071).

Almost surely, 2^13507350 is an apocalyptic number.

13507350 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 13507350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17737704).

13507350 is an abundant number, since it is smaller than the sum of its proper divisors (21968058).

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

13507350 is a wasteful number, since it uses less digits than its factorization.

13507350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5329 (or 5324 counting only the distinct ones).

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

The square root of 13507350 is about 3675.2346863840. The cubic root of 13507350 is about 238.1533625395.

Adding to 13507350 its reverse (5370531), we get a palindrome (18877881).

It can be divided in two parts, 1350 and 7350, that multiplied together give a square (9922500 = 3150²).

The spelling of 13507350 in words is "thirteen million, five hundred seven thousand, three hundred fifty".