5175304172544 has 352 divisors, whose sum is σ = 15387002790912. Its totient is φ = 1546098892800.

The previous prime is 5175304172543. The next prime is 5175304172627. The reversal of 5175304172544 is 4452714035715.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 5175304172493 and 5175304172502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5175304172543) 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 31 ways as a sum of consecutive naturals, for example, 290298159 + ... + 290315985.

Almost surely, 2^{5175304172544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5175304172544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7693501395456).

5175304172544 is an abundant number, since it is smaller than the sum of its proper divisors (10211698618368).

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

5175304172544 is a wasteful number, since it uses less digits than its factorization.

5175304172544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17954 (or 17914 counting only the distinct ones).

The product of its (nonzero) digits is 2352000, while the sum is 48.

The spelling of 5175304172544 in words is "five trillion, one hundred seventy-five billion, three hundred four million, one hundred seventy-two thousand, five hundred forty-four".