5004724101135 has 96 divisors (see below), whose sum is σ = 8846864216064. Its totient is φ = 2395926144000.

The previous prime is 5004724101133. The next prime is 5004724101163. The reversal of 5004724101135 is 5311014274005.

It is not a de Polignac number, because 5004724101135 - 2¹ = 5004724101133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 5004724101096 and 5004724101105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5004724101133) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 591500805 + ... + 591509265.

It is an arithmetic number, because the mean of its divisors is an integer number (92154835584).

Almost surely, 2^{5004724101135} is an apocalyptic number.

5004724101135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5004724101135 is a deficient number, since it is larger than the sum of its proper divisors (3842140114929).

5004724101135 is a wasteful number, since it uses less digits than its factorization.

5004724101135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8945 (or 8808 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The spelling of 5004724101135 in words is "five trillion, four billion, seven hundred twenty-four million, one hundred one thousand, one hundred thirty-five".