53505000 has 240 divisors, whose sum is σ = 191891700. Its totient is φ = 13440000.

The previous prime is 53504999. The next prime is 53505017. The reversal of 53505000 is 50535.

53505000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 14791716 + 38713284 = 3846^2 + 6222^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1304980 + ... + 1305020.

Almost surely, 2^53505000 is an apocalyptic number.

53505000 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 53505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95945850).

53505000 is an abundant number, since it is smaller than the sum of its proper divisors (138386700).

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

53505000 is a wasteful number, since it uses less digits than its factorization.

53505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 18.

The square root of 53505000 is about 7314.7112041420. The cubic root of 53505000 is about 376.8178403118.

Adding to 53505000 its reverse (50535), we get a palindrome (53555535).

The spelling of 53505000 in words is "fifty-three million, five hundred five thousand".