13005635430 has 64 divisors (see below), whose sum is σ = 32667867648. Its totient is φ = 3307476480.

The previous prime is 13005635429. The next prime is 13005635459. The reversal of 13005635430 is 3453650031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204565 + ... + 260495.

It is an arithmetic number, because the mean of its divisors is an integer number (510435432).

Almost surely, 2^13005635430 is an apocalyptic number.

13005635430 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 13005635430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16333933824).

13005635430 is an abundant number, since it is smaller than the sum of its proper divisors (19662232218).

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

13005635430 is a wasteful number, since it uses less digits than its factorization.

13005635430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56301.

The product of its (nonzero) digits is 16200, while the sum is 30.

The spelling of 13005635430 in words is "thirteen billion, five million, six hundred thirty-five thousand, four hundred thirty".