5133013693920 has 288 divisors, whose sum is σ = 20300710510080. Its totient is φ = 1156735319040.

The previous prime is 5133013693903. The next prime is 5133013693933. The reversal of 5133013693920 is 293963103315.

5133013693920 is a `hidden beast` number, since 513 + 30 + 13 + 6 + 9 + 3 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2870430 + ... + 4301789.

It is an arithmetic number, because the mean of its divisors is an integer number (70488578160).

Almost surely, 2^{5133013693920} is an apocalyptic number.

It is an amenable number.

5133013693920 is an abundant number, since it is smaller than the sum of its proper divisors (15167696816160).

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

5133013693920 is a wasteful number, since it uses less digits than its factorization.

5133013693920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7172318 (or 7172307 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 45.

The spelling of 5133013693920 in words is "five trillion, one hundred thirty-three billion, thirteen million, six hundred ninety-three thousand, nine hundred twenty".