13430520510 has 128 divisors (see below), whose sum is σ = 35976904704. Its totient is φ = 3181368960.

The previous prime is 13430520497. The next prime is 13430520529. The reversal of 13430520510 is 1502503431.

13430520510 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2805579 + ... + 2810361.

It is an arithmetic number, because the mean of its divisors is an integer number (281069568).

Almost surely, 2^13430520510 is an apocalyptic number.

13430520510 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 13430520510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17988452352).

13430520510 is an abundant number, since it is smaller than the sum of its proper divisors (22546384194).

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

13430520510 is a wasteful number, since it uses less digits than its factorization.

13430520510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4998.

The product of its (nonzero) digits is 1800, while the sum is 24.

The spelling of 13430520510 in words is "thirteen billion, four hundred thirty million, five hundred twenty thousand, five hundred ten".