5210517200 has 120 divisors (see below), whose sum is σ = 14768340480. Its totient is φ = 1728806400.

The previous prime is 5210517199. The next prime is 5210517223. The reversal of 5210517200 is 27150125.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56786 + ... + 116814.

It is an arithmetic number, because the mean of its divisors is an integer number (123069504).

Almost surely, 2^5210517200 is an apocalyptic number.

5210517200 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 5210517200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7384170240).

5210517200 is an abundant number, since it is smaller than the sum of its proper divisors (9557823280).

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

5210517200 is a wasteful number, since it uses less digits than its factorization.

5210517200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60085 (or 60074 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 23.

The square root of 5210517200 is about 72183.9123350903. The cubic root of 5210517200 is about 1733.6454253945.

Adding to 5210517200 its reverse (27150125), we get a palindrome (5237667325).

The spelling of 5210517200 in words is "five billion, two hundred ten million, five hundred seventeen thousand, two hundred".