564119664241 has 27 divisors (see below), whose sum is σ = 672873711777. Its totient is φ = 471557439360.

The previous prime is 564119664233. The next prime is 564119664247. The reversal of 564119664241 is 142466911465.

The square root of 564119664241 is 751079.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2363418225 + 561756246016 = 48615^2 + 749504^2 .

It is not a de Polignac number, because 564119664241 - 2³ = 564119664233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (564119664247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 215558365 + ... + 215560981.

Almost surely, 2^564119664241 is an apocalyptic number.

564119664241 is the 751079-th square number.

564119664241 is the 375540-th centered octagonal number.

It is an amenable number.

564119664241 is a deficient number, since it is larger than the sum of its proper divisors (108754047536).

564119664241 is an frugal number, since it uses more digits than its factorization.

564119664241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5330 (or 2665 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 49.

Multiplying 564119664241 by its sum of digits (49), we get a square (27641863547809 = 5257553²).

564119664241 divided by its sum of digits (49) gives a square (11512646209 = 107297²).

The spelling of 564119664241 in words is "five hundred sixty-four billion, one hundred nineteen million, six hundred sixty-four thousand, two hundred forty-one".