5201000 has 64 divisors (see below), whose sum is σ = 13927680. Its totient is φ = 1780800.

The previous prime is 5200999. The next prime is 5201023. The reversal of 5201000 is 1025.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 6629 + ... + 7371.

It is an arithmetic number, because the mean of its divisors is an integer number (217620).

Almost surely, 2^5201000 is an apocalyptic number.

5201000 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 5201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963840).

5201000 is an abundant number, since it is smaller than the sum of its proper divisors (8726680).

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

5201000 is a wasteful number, since it uses less digits than its factorization.

5201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 5201000 is about 2280.5701041626. The cubic root of 5201000 is about 173.2589259859.

Adding to 5201000 its reverse (1025), we get a palindrome (5202025).

The spelling of 5201000 in words is "five million, two hundred one thousand".