5161000 has 64 divisors (see below), whose sum is σ = 13038480. Its totient is φ = 1900800.

The previous prime is 5160997. The next prime is 5161003. The reversal of 5161000 is 1615.

It is an interprime number because it is at equal distance from previous prime (5160997) and next prime (5161003).

It can be written as a sum of positive squares in 8 ways, for example, as 26244 + 5134756 = 162^2 + 2266^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5161003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12802 + ... + 13198.

Almost surely, 2^5161000 is an apocalyptic number.

5161000 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 5161000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6519240).

5161000 is an abundant number, since it is smaller than the sum of its proper divisors (7877480).

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

5161000 is a wasteful number, since it uses less digits than its factorization.

5161000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 5161000 is about 2271.7834403833. The cubic root of 5161000 is about 172.8136141823.

Adding to 5161000 its reverse (1615), we get a palindrome (5162615).

The spelling of 5161000 in words is "five million, one hundred sixty-one thousand".