5161257600 has 192 divisors, whose sum is σ = 17587044000. Its totient is φ = 1328803840.

The previous prime is 5161257593. The next prime is 5161257617. The reversal of 5161257600 is 67521615.

It is a tau number, because it is divible by the number of its divisors (192).

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, 269131 + ... + 287669.

Almost surely, 2^5161257600 is an apocalyptic number.

5161257600 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 5161257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8793522000).

5161257600 is an abundant number, since it is smaller than the sum of its proper divisors (12425786400).

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

5161257600 is a wasteful number, since it uses less digits than its factorization.

5161257600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18595 (or 18578 counting only the distinct ones).

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

The square root of 5161257600 is about 71841.8930708260. The cubic root of 5161257600 is about 1728.1648933867.

The spelling of 5161257600 in words is "five billion, one hundred sixty-one million, two hundred fifty-seven thousand, six hundred".