5061654900 has 144 divisors (see below), whose sum is σ = 16311456000. Its totient is φ = 1346526720.

The previous prime is 5061654893. The next prime is 5061654911. The reversal of 5061654900 is 94561605.

5061654900 is a `hidden beast` number, since 5 + 0 + 6 + 165 + 490 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1248076 + ... + 1252124.

It is an arithmetic number, because the mean of its divisors is an integer number (113274000).

Almost surely, 2^5061654900 is an apocalyptic number.

5061654900 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 5061654900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8155728000).

5061654900 is an abundant number, since it is smaller than the sum of its proper divisors (11249801100).

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

5061654900 is a wasteful number, since it uses less digits than its factorization.

5061654900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4535 (or 4522 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5061654900 is about 71145.3083484779. The cubic root of 5061654900 is about 1716.9758130308.

The spelling of 5061654900 in words is "five billion, sixty-one million, six hundred fifty-four thousand, nine hundred".