13006048510 has 192 divisors, whose sum is σ = 30750160896. Its totient is φ = 3849500160.

The previous prime is 13006048493. The next prime is 13006048513. The reversal of 13006048510 is 1584060031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13006048513) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77880447 + ... + 77880613.

It is an arithmetic number, because the mean of its divisors is an integer number (160157088).

Almost surely, 2^13006048510 is an apocalyptic number.

13006048510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13006048510 is an abundant number, since it is smaller than the sum of its proper divisors (17744112386).

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

13006048510 is a wasteful number, since it uses less digits than its factorization.

13006048510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 13006048510 in words is "thirteen billion, six million, forty-eight thousand, five hundred ten".