5161009500 has 192 divisors, whose sum is σ = 16756346880. Its totient is φ = 1371528000.

The previous prime is 5161009429. The next prime is 5161009507. The reversal of 5161009500 is 59001615.

5161009500 is a `hidden beast` number, since 51 + 6 + 100 + 9 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5161009507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5818057 + ... + 5818943.

It is an arithmetic number, because the mean of its divisors is an integer number (87272640).

Almost surely, 2^5161009500 is an apocalyptic number.

5161009500 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 5161009500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8378173440).

5161009500 is an abundant number, since it is smaller than the sum of its proper divisors (11595337380).

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

5161009500 is a wasteful number, since it uses less digits than its factorization.

5161009500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 5161009500 is about 71840.1663416782. The cubic root of 5161009500 is about 1728.1372021654.

The spelling of 5161009500 in words is "five billion, one hundred sixty-one million, nine thousand, five hundred".