13007438510 has 64 divisors (see below), whose sum is σ = 26235601920. Its totient is φ = 4602353280.

The previous prime is 13007438473. The next prime is 13007438537. The reversal of 13007438510 is 1583470031.

13007438510 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 31 ways as a sum of consecutive naturals, for example, 1267259 + ... + 1277481.

It is an arithmetic number, because the mean of its divisors is an integer number (409931280).

Almost surely, 2^13007438510 is an apocalyptic number.

13007438510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13007438510 is an abundant number, since it is smaller than the sum of its proper divisors (13228163410).

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

13007438510 is a wasteful number, since it uses less digits than its factorization.

13007438510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10553.

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 13007438510 in words is "thirteen billion, seven million, four hundred thirty-eight thousand, five hundred ten".