13509630 has 24 divisors (see below), whose sum is σ = 35125272. Its totient is φ = 3602544.

The previous prime is 13509619. The next prime is 13509631. The reversal of 13509630 is 3690531.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13509594 and 13509603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13509631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74964 + ... + 75143.

It is an arithmetic number, because the mean of its divisors is an integer number (1463553).

Almost surely, 2^13509630 is an apocalyptic number.

13509630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13509630 is an abundant number, since it is smaller than the sum of its proper divisors (21615642).

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

13509630 is a wasteful number, since it uses less digits than its factorization.

13509630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150120 (or 150117 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 13509630 is about 3675.5448575687. The cubic root of 13509630 is about 238.1667616424.

The spelling of 13509630 in words is "thirteen million, five hundred nine thousand, six hundred thirty".