53067300 has 144 divisors (see below), whose sum is σ = 180530112. Its totient is φ = 11865600.

The previous prime is 53067299. The next prime is 53067307. The reversal of 53067300 is 376035.

53067300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×53067300² = 5632276658580000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (53067307) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 42282 + ... + 43518.

Almost surely, 2^53067300 is an apocalyptic number.

53067300 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 53067300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90265056).

53067300 is an abundant number, since it is smaller than the sum of its proper divisors (127462812).

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

53067300 is a wasteful number, since it uses less digits than its factorization.

53067300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 24.

The square root of 53067300 is about 7284.7306058632. The cubic root of 53067300 is about 375.7875006452.

It can be divided in two parts, 53067 and 300, that multiplied together give a square (15920100 = 3990²).

The spelling of 53067300 in words is "fifty-three million, sixty-seven thousand, three hundred".