52613215200 has 1728 divisors, whose sum is σ = 247034188800. Its totient is φ = 10567065600.

The previous prime is 52613215183. The next prime is 52613215201. The reversal of 52613215200 is 251231625.

It is a happy number.

52613215200 is a `hidden beast` number, since 5 + 2 + 6 + 132 + 1 + 520 + 0 = 666.

It is a super-2 number, since 2×52613215200² (a number of 22 digits) contains 22 as substring.

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 (52613215201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 741031165 + ... + 741031235.

It is an arithmetic number, because the mean of its divisors is an integer number (142959600).

Almost surely, 2^52613215200 is an apocalyptic number.

52613215200 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 52613215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123517094400).

52613215200 is an abundant number, since it is smaller than the sum of its proper divisors (194420973600).

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

52613215200 is a wasteful number, since it uses less digits than its factorization.

52613215200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 52613215200 its reverse (251231625), we get a palindrome (52864446825).

The spelling of 52613215200 in words is "fifty-two billion, six hundred thirteen million, two hundred fifteen thousand, two hundred".