5135460645315 has 192 divisors, whose sum is σ = 11700891417600. Its totient is φ = 1866359024640.

The previous prime is 5135460645281. The next prime is 5135460645373.

5135460645315 is nontrivially palindromic in base 10.

5135460645315 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5135460645315 - 2⁷ = 5135460645187 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2319901 + ... + 3956369.

It is an arithmetic number, because the mean of its divisors is an integer number (60942142800).

Almost surely, 2^{5135460645315} is an apocalyptic number.

5135460645315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5135460645315 is an abundant number, since it is smaller than the sum of its proper divisors (6565430772285).

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

5135460645315 is a wasteful number, since it uses less digits than its factorization.

5135460645315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636538 (or 1636527 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 48.

The spelling of 5135460645315 in words is "five trillion, one hundred thirty-five billion, four hundred sixty million, six hundred forty-five thousand, three hundred fifteen".