5141123064 has 384 divisors, whose sum is σ = 18131143680. Its totient is φ = 1277337600.

The previous prime is 5141123063. The next prime is 5141123069. The reversal of 5141123064 is 4603211415.

It is a happy number.

5141123064 is a `hidden beast` number, since 514 + 112 + 30 + 6 + 4 = 666.

It is a super-2 number, since 2×5141123064² = 52862292718385496192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5141123063) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14563912 + ... + 14564264.

It is an arithmetic number, because the mean of its divisors is an integer number (47216520).

Almost surely, 2^5141123064 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 5141123064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9065571840).

5141123064 is an abundant number, since it is smaller than the sum of its proper divisors (12990020616).

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

5141123064 is a wasteful number, since it uses less digits than its factorization.

5141123064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5141123064 is about 71701.6252535464. The cubic root of 5141123064 is about 1725.9147219187.

Adding to 5141123064 its reverse (4603211415), we get a palindrome (9744334479).

The spelling of 5141123064 in words is "five billion, one hundred forty-one million, one hundred twenty-three thousand, sixty-four".