5258000 has 80 divisors (see below), whose sum is σ = 13927680. Its totient is φ = 1904000.

The previous prime is 5257999. The next prime is 5258023. The reversal of 5258000 is 8525.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 21881 + ... + 22119.

It is an arithmetic number, because the mean of its divisors is an integer number (174096).

Almost surely, 2^5258000 is an apocalyptic number.

5258000 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 5258000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963840).

5258000 is an abundant number, since it is smaller than the sum of its proper divisors (8669680).

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

5258000 is a wasteful number, since it uses less digits than its factorization.

5258000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 5258000 is about 2293.0329260610. The cubic root of 5258000 is about 173.8895674834.

The spelling of 5258000 in words is "five million, two hundred fifty-eight thousand".