53505241344 has 243 divisors, whose sum is σ = 158849694549. Its totient is φ = 17320642560.

The previous prime is 53505241277. The next prime is 53505241393. The reversal of 53505241344 is 44314250535.

The square root of 53505241344 is 231312.

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

53505241344 is a `hidden beast` number, since 53 + 50 + 524 + 1 + 34 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1739890944 + 51765350400 = 41712^2 + 227520^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 53505241299 and 53505241308.

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 26 ways as a sum of consecutive naturals, for example, 677281497 + ... + 677281575.

Almost surely, 2^53505241344 is an apocalyptic number.

53505241344 is the 231312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53505241344

53505241344 is an abundant number, since it is smaller than the sum of its proper divisors (105344453205).

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

53505241344 is an frugal number, since it uses more digits than its factorization.

53505241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Multiplying 53505241344 by its sum of digits (36), we get a square (1926188688384 = 1387872²).

53505241344 divided by its sum of digits (36) gives a square (1486256704 = 38552²).

Adding to 53505241344 its reverse (44314250535), we get a palindrome (97819491879).

It can be divided in two parts, 53505 and 241344, that added together give a square (294849 = 543²).

The spelling of 53505241344 in words is "fifty-three billion, five hundred five million, two hundred forty-one thousand, three hundred forty-four".