53283412224 has 405 divisors, whose sum is σ = 185631934257. Its totient is φ = 15157352448.

The previous prime is 53283412201. The next prime is 53283412241. The reversal of 53283412224 is 42221438235.

The square root of 53283412224 is 230832.

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

53283412224 is a `hidden beast` number, since 532 + 83 + 4 + 1 + 22 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49625581824 + 3657830400 = 222768^2 + 60480^2 .

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 44 ways as a sum of consecutive naturals, for example, 232678542 + ... + 232678770.

Almost surely, 2^53283412224 is an apocalyptic number.

53283412224 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

53283412224 is the 230832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53283412224

53283412224 is an abundant number, since it is smaller than the sum of its proper divisors (132348522033).

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

53283412224 is an frugal number, since it uses more digits than its factorization.

53283412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 241 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Multiplying 53283412224 by its sum of digits (36), we get a square (1918202840064 = 1384992²).

53283412224 divided by its sum of digits (36) gives a square (1480094784 = 38472²).

The spelling of 53283412224 in words is "fifty-three billion, two hundred eighty-three million, four hundred twelve thousand, two hundred twenty-four".