5210205 has 64 divisors (see below), whose sum is σ = 11225088. Its totient is φ = 1992960.

The previous prime is 5210203. The next prime is 5210207. The reversal of 5210205 is 5020125.

It is an interprime number because it is at equal distance from previous prime (5210203) and next prime (5210207).

It is not a de Polignac number, because 5210205 - 2¹ = 5210203 is a prime.

It is a super-2 number, since 2×5210205² = 54292472284050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5210203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14842 + ... + 15188.

It is an arithmetic number, because the mean of its divisors is an integer number (175392).

Almost surely, 2^5210205 is an apocalyptic number.

5210205 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5210205 is an abundant number, since it is smaller than the sum of its proper divisors (6014883).

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

5210205 is a wasteful number, since it uses less digits than its factorization.

5210205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386.

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 5210205 is about 2282.5873477263. The cubic root of 5210205 is about 173.3610799599.

The spelling of 5210205 in words is "five million, two hundred ten thousand, two hundred five".