5141000 has 64 divisors (see below), whose sum is σ = 12383280. Its totient is φ = 1996800.

The previous prime is 5140999. The next prime is 5141011. The reversal of 5141000 is 1415.

It can be written as a sum of positive squares in 8 ways, for example, as 362404 + 4778596 = 602^2 + 2186^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52952 + ... + 53048.

Almost surely, 2^5141000 is an apocalyptic number.

5141000 is a gapful number since it is divisible by the number (50) 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 5141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191640).

5141000 is an abundant number, since it is smaller than the sum of its proper divisors (7242280).

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

5141000 is a wasteful number, since it uses less digits than its factorization.

5141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 5141000 is about 2267.3773395710. The cubic root of 5141000 is about 172.5900950630.

Adding to 5141000 its reverse (1415), we get a palindrome (5142415).

The spelling of 5141000 in words is "five million, one hundred forty-one thousand".