5161675200 has 336 divisors, whose sum is σ = 19116812160. Its totient is φ = 1207808000.

The previous prime is 5161675199. The next prime is 5161675217. The reversal of 5161675200 is 25761615.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1529515 + ... + 1532885.

Almost surely, 2^5161675200 is an apocalyptic number.

5161675200 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 5161675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9558406080).

5161675200 is an abundant number, since it is smaller than the sum of its proper divisors (13955136960).

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

5161675200 is a wasteful number, since it uses less digits than its factorization.

5161675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3436 (or 3421 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 5161675200 is about 71844.7993942498. The cubic root of 5161675200 is about 1728.2115010324.

It can be divided in two parts, 5161 and 675200, that added together give a triangular number (680361 = T₁₁₆₆).

The spelling of 5161675200 in words is "five billion, one hundred sixty-one million, six hundred seventy-five thousand, two hundred".