52505139600 has 675 divisors, whose sum is σ = 201889048977. Its totient is φ = 13066479360.

The previous prime is 52505139593. The next prime is 52505139647. The reversal of 52505139600 is 693150525.

The square root of 52505139600 is 229140.

It is a perfect power (a square), and thus also a powerful number.

52505139600 is a `hidden beast` number, since 5 + 2 + 50 + 513 + 96 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18901850256 + 33603289344 = 137484^2 + 183312^2 .

It is a tau number, because it is divible by the number of its divisors (675).

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 783658767 + ... + 783658833.

Almost surely, 2^52505139600 is an apocalyptic number.

52505139600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

52505139600 is the 229140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52505139600

52505139600 is an abundant number, since it is smaller than the sum of its proper divisors (149383909377).

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

52505139600 is a wasteful number, since it uses less digits than its factorization.

52505139600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

Multiplying 52505139600 by its sum of digits (36), we get a square (1890185025600 = 1374840²).

52505139600 divided by its sum of digits (36) gives a square (1458476100 = 38190²).

The spelling of 52505139600 in words is "fifty-two billion, five hundred five million, one hundred thirty-nine thousand, six hundred".