5210251200 has 1008 divisors, whose sum is σ = 23898660864. Its totient is φ = 1045094400.

The previous prime is 5210251199. The next prime is 5210251253. The reversal of 5210251200 is 21520125.

5210251200 is a `hidden beast` number, since 5 + 210 + 251 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41025537 + ... + 41025663.

Almost surely, 2^5210251200 is an apocalyptic number.

5210251200 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 5210251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11949330432).

5210251200 is an abundant number, since it is smaller than the sum of its proper divisors (18688409664).

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

5210251200 is a wasteful number, since it uses less digits than its factorization.

5210251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 5210251200 is about 72182.0697957602. The cubic root of 5210251200 is about 1733.6159236827.

Adding to 5210251200 its reverse (21520125), we get a palindrome (5231771325).

It can be divided in two parts, 521025 and 1200, that added together give a palindrome (522225).

The spelling of 5210251200 in words is "five billion, two hundred ten million, two hundred fifty-one thousand, two hundred".