5171326148352 has 864 divisors, whose sum is σ = 17456462220288. Its totient is φ = 1330363367424.

The previous prime is 5171326148347. The next prime is 5171326148363. The reversal of 5171326148352 is 2538416231715.

It is a super-2 number, since 2×5171326148352² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6831341958 + ... + 6831342714.

Almost surely, 2^{5171326148352} is an apocalyptic number.

5171326148352 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5171326148352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8728231110144).

5171326148352 is an abundant number, since it is smaller than the sum of its proper divisors (12285136071936).

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

5171326148352 is a wasteful number, since it uses less digits than its factorization.

5171326148352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 958 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The spelling of 5171326148352 in words is "five trillion, one hundred seventy-one billion, three hundred twenty-six million, one hundred forty-eight thousand, three hundred fifty-two".