5141117952 has 308 divisors, whose sum is σ = 15786889776. Its totient is φ = 1672151040.

The previous prime is 5141117911. The next prime is 5141117957. The reversal of 5141117952 is 2597111415.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5141117957) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 53001168 + ... + 53001264.

Almost surely, 2^5141117952 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 5141117952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7893444888).

5141117952 is an abundant number, since it is smaller than the sum of its proper divisors (10645771824).

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

5141117952 is an frugal number, since it uses more digits than its factorization.

5141117952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 173 counting only the distinct ones).

The product of its digits is 12600, while the sum is 36.

The square root of 5141117952 is about 71701.5896058100. The cubic root of 5141117952 is about 1725.9141498726.

The spelling of 5141117952 in words is "five billion, one hundred forty-one million, one hundred seventeen thousand, nine hundred fifty-two".