5061513600 has 576 divisors, whose sum is σ = 21235359600. Its totient is φ = 1131724800.

The previous prime is 5061513577. The next prime is 5061513601. The reversal of 5061513600 is 63151605.

It is a happy number.

5061513600 is a `hidden beast` number, since 5 + 0 + 6 + 1 + 51 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5061513601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4117786 + ... + 4119014.

Almost surely, 2^5061513600 is an apocalyptic number.

5061513600 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 5061513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10617679800).

5061513600 is an abundant number, since it is smaller than the sum of its proper divisors (16173846000).

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

5061513600 is a wasteful number, since it uses less digits than its factorization.

5061513600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 5061513600 is about 71144.3153034731. The cubic root of 5061513600 is about 1716.9598359808.

The spelling of 5061513600 in words is "five billion, sixty-one million, five hundred thirteen thousand, six hundred".