5200653600 has 360 divisors, whose sum is σ = 20085659748. Its totient is φ = 1304985600.

The previous prime is 5200653553. The next prime is 5200653643. The reversal of 5200653600 is 63560025.

5200653600 is a `hidden beast` number, since 5 + 2 + 0 + 0 + 6 + 53 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2736126864 + 2464526736 = 52308^2 + 49644^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1099240 + ... + 1103960.

Almost surely, 2^5200653600 is an apocalyptic number.

5200653600 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 5200653600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10042829874).

5200653600 is an abundant number, since it is smaller than the sum of its proper divisors (14885006148).

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

5200653600 is a wasteful number, since it uses less digits than its factorization.

5200653600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4770 (or 4748 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 5200653600 is about 72115.5572674856. The cubic root of 5200653600 is about 1732.5507940356.

The spelling of 5200653600 in words is "five billion, two hundred million, six hundred fifty-three thousand, six hundred".