5058001 has 9 divisors (see below), whose sum is σ = 5508849. Its totient is φ = 4641936.

The previous prime is 5057989. The next prime is 5058013. The reversal of 5058001 is 1008505.

The square root of 5058001 is 2249.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (5057989) and next prime (5058013).

It can be written as a sum of positive squares in 4 ways, for example, as 40401 + 5017600 = 201^2 + 2240^2 .

It is a de Polignac number, because none of the positive numbers 2^k-5058001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5058001.

It is not an unprimeable number, because it can be changed into a prime (5058101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29151 + ... + 29323.

Almost surely, 2^5058001 is an apocalyptic number.

5058001 is the 2249-th square number.

5058001 is the 1125-th centered octagonal number.

It is an amenable number.

5058001 is a deficient number, since it is larger than the sum of its proper divisors (450848).

5058001 is an equidigital number, since it uses as much as digits as its factorization.

5058001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The cubic root of 5058001 is about 171.6562564251.

The spelling of 5058001 in words is "five million, fifty-eight thousand, one".