13825035 has 24 divisors (see below), whose sum is σ = 27387360. Its totient is φ = 6319872.

The previous prime is 13825033. The next prime is 13825037. The reversal of 13825035 is 53052831.

13825035 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13825033) and next prime (13825037).

It is not a de Polignac number, because 13825035 - 2¹ = 13825033 is a prime.

It is a super-2 number, since 2×13825035² = 382263185502450, which contains 22 as substring.

13825035 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (13825033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21630 + ... + 22259.

It is an arithmetic number, because the mean of its divisors is an integer number (1141140).

Almost surely, 2^13825035 is an apocalyptic number.

13825035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13825035 is a deficient number, since it is larger than the sum of its proper divisors (13562325).

13825035 is a wasteful number, since it uses less digits than its factorization.

13825035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43907 (or 43904 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 13825035 is about 3718.2031950930. The cubic root of 13825035 is about 240.0059894339.

Adding to 13825035 its reverse (53052831), we get a palindrome (66877866).

The spelling of 13825035 in words is "thirteen million, eight hundred twenty-five thousand, thirty-five".