5210010 has 96 divisors (see below), whose sum is σ = 15030288. Its totient is φ = 1244160.

The previous prime is 5210003. The next prime is 5210017. The reversal of 5210010 is 100125.

It is a happy number.

5210010 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (5210003) and next prime (5210017).

It can be written as a sum of positive squares in 8 ways, for example, as 321489 + 4888521 = 567^2 + 2211^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 5209974 and 5210001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5210017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71334 + ... + 71406.

Almost surely, 2^5210010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5210010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7515144).

5210010 is an abundant number, since it is smaller than the sum of its proper divisors (9820278).

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

5210010 is a wasteful number, since it uses less digits than its factorization.

5210010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 5210010 is about 2282.5446326414. The cubic root of 5210010 is about 173.3589171638.

Adding to 5210010 its reverse (100125), we get a palindrome (5310135).

The spelling of 5210010 in words is "five million, two hundred ten thousand, ten".