53017242314436 has 243 divisors, whose sum is σ = 147910728724941. Its totient is φ = 16008594738048.

The previous prime is 53017242314431. The next prime is 53017242314453. The reversal of 53017242314436 is 63441324271035.

The square root of 53017242314436 is 7281294.

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

53017242314436 is a `hidden beast` number, since 5 + 3 + 0 + 172 + 4 + 2 + 31 + 443 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8243157788100 + 44774084526336 = 2871090^2 + 6691344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 53017242314391 and 53017242314400.

It is not an unprimeable number, because it can be changed into a prime (53017242314431) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 19091551480 + ... + 19091554256.

Almost surely, 2^{53017242314436} is an apocalyptic number.

53017242314436 is the 7281294-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53017242314436

53017242314436 is an abundant number, since it is smaller than the sum of its proper divisors (94893486410505).

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

53017242314436 is a wasteful number, since it uses less digits than its factorization.

53017242314436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5648 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 53017242314436 in words is "fifty-three trillion, seventeen billion, two hundred forty-two million, three hundred fourteen thousand, four hundred thirty-six".