5345251200 has 144 divisors (see below), whose sum is σ = 19073184000. Its totient is φ = 1425392640.

The previous prime is 5345251199. The next prime is 5345251201. The reversal of 5345251200 is 21525435.

It is a happy number.

5345251200 is a `hidden beast` number, since 5 + 3 + 452 + 5 + 1 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (5345251199) and next prime (5345251201).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×5345251200² = 57143420782202880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5345251201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 64000 + ... + 121599.

Almost surely, 2^5345251200 is an apocalyptic number.

5345251200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5345251200 is an abundant number, since it is smaller than the sum of its proper divisors (13727932800).

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

5345251200 is a wasteful number, since it uses less digits than its factorization.

5345251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185629 (or 185609 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 5345251200 is about 73111.2248563789. The cubic root of 5345251200 is about 1748.4613632410.

Adding to 5345251200 its reverse (21525435), we get a palindrome (5366776635).

The spelling of 5345251200 in words is "five billion, three hundred forty-five million, two hundred fifty-one thousand, two hundred".