5413017600 has 432 divisors, whose sum is σ = 20555949960. Its totient is φ = 1356595200.

The previous prime is 5413017529. The next prime is 5413017619. The reversal of 5413017600 is 67103145.

5413017600 is a `hidden beast` number, since 5 + 41 + 3 + 0 + 17 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7833255 + ... + 7833945.

Almost surely, 2^5413017600 is an apocalyptic number.

5413017600 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 5413017600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10277974980).

5413017600 is an abundant number, since it is smaller than the sum of its proper divisors (15142932360).

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

5413017600 is a wasteful number, since it uses less digits than its factorization.

5413017600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5413017600 is about 73573.2125165131. The cubic root of 5413017600 is about 1755.8192780356.

The spelling of 5413017600 in words is "five billion, four hundred thirteen million, seventeen thousand, six hundred".