524111975954064 has 135 divisors (see below), whose sum is σ = 1558156372379113. Its totient is φ = 164425821390336.

The previous prime is 524111975954051. The next prime is 524111975954101. The reversal of 524111975954064 is 460459579111425.

The square root of 524111975954064 is 22893492.

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

524111975954064 is a `hidden beast` number, since 5 + 2 + 4 + 1 + 1 + 19 + 75 + 9 + 540 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 408045656019600 + 116066319934464 = 20200140^2 + 10773408^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 524111975953992 and 524111975954010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4670216257 + ... + 4670328479.

Almost surely, 2^{524111975954064} is an apocalyptic number.

524111975954064 is the 22893492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 524111975954064

524111975954064 is an abundant number, since it is smaller than the sum of its proper divisors (1034044396425049).

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

524111975954064 is an frugal number, since it uses more digits than its factorization.

524111975954064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224494 (or 112245 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 524111975954064 in words is "five hundred twenty-four trillion, one hundred eleven billion, nine hundred seventy-five million, nine hundred fifty-four thousand, sixty-four".