5210513 has 16 divisors (see below), whose sum is σ = 6633600. Its totient is φ = 4057200.

The previous prime is 5210507. The next prime is 5210519. The reversal of 5210513 is 3150125.

5210513 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5210507) and next prime (5210519).

It is not a de Polignac number, because 5210513 - 2⁴ = 5210497 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5210491 and 5210500.

It is not an unprimeable number, because it can be changed into a prime (5210519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3083 + ... + 4463.

It is an arithmetic number, because the mean of its divisors is an integer number (414600).

Almost surely, 2^5210513 is an apocalyptic number.

It is an amenable number.

5210513 is a deficient number, since it is larger than the sum of its proper divisors (1423087).

5210513 is a wasteful number, since it uses less digits than its factorization.

5210513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 5210513 is about 2282.6548140269. The cubic root of 5210513 is about 173.3644959586.

Adding to 5210513 its reverse (3150125), we get a palindrome (8360638).

The spelling of 5210513 in words is "five million, two hundred ten thousand, five hundred thirteen".