564261353406132 has 24 divisors (see below), whose sum is σ = 1338193592232672. Its totient is φ = 185003722428000.

The previous prime is 564261353406131. The next prime is 564261353406133. The reversal of 564261353406132 is 231604353162465.

It is an interprime number because it is at equal distance from previous prime (564261353406131) and next prime (564261353406133).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564261353406131) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 385424420994 + ... + 385424422457.

It is an arithmetic number, because the mean of its divisors is an integer number (55758066343028).

Almost surely, 2^{564261353406132} is an apocalyptic number.

It is an amenable number.

564261353406132 is an abundant number, since it is smaller than the sum of its proper divisors (773932238826540).

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

564261353406132 is a wasteful number, since it uses less digits than its factorization.

564261353406132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770848843519 (or 770848843517 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 51.

The spelling of 564261353406132 in words is "five hundred sixty-four trillion, two hundred sixty-one billion, three hundred fifty-three million, four hundred six thousand, one hundred thirty-two".