52735050 has 120 divisors (see below), whose sum is σ = 151915500. Its totient is φ = 13547520.

The previous prime is 52735043. The next prime is 52735087. The reversal of 52735050 is 5053725.

It can be written as a sum of positive squares in 6 ways, for example, as 22496049 + 30239001 = 4743^2 + 5499^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 117226 + ... + 117674.

Almost surely, 2^52735050 is an apocalyptic number.

52735050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 52735050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75957750).

52735050 is an abundant number, since it is smaller than the sum of its proper divisors (99180450).

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

52735050 is a wasteful number, since it uses less digits than its factorization.

52735050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 52735050 is about 7261.8902497903. The cubic root of 52735050 is about 375.0015999932.

Adding to 52735050 its reverse (5053725), we get a palindrome (57788775).

The spelling of 52735050 in words is "fifty-two million, seven hundred thirty-five thousand, fifty".