52924446456561 has 9 divisors (see below), whose sum is σ = 76446454184139. Its totient is φ = 35282949754536.

The previous prime is 52924446456517. The next prime is 52924446456577. The reversal of 52924446456561 is 16565464442925.

The square root of 52924446456561 is 7274919.

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

52924446456561 is a `hidden beast` number, since 5 + 2 + 9 + 2 + 4 + 4 + 4 + 6 + 4 + 565 + 61 = 666.

52924446456561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 30026728512225 + 22897717944336 = 5479665^2 + 4785156^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 52924446456561 - 2¹⁷ = 52924446325489 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (52924446458561) 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 8 ways as a sum of consecutive naturals, for example, 20612271 + ... + 23037243.

Almost surely, 2^{52924446456561} is an apocalyptic number.

52924446456561 is the 7274919-th square number.

52924446456561 is the 3637460-th centered octagonal number.

It is an amenable number.

52924446456561 is a deficient number, since it is larger than the sum of its proper divisors (23522007727578).

52924446456561 is an frugal number, since it uses more digits than its factorization.

52924446456561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4849952 (or 2424976 counting only the distinct ones).

The product of its digits is 248832000, while the sum is 63.

The spelling of 52924446456561 in words is "fifty-two trillion, nine hundred twenty-four billion, four hundred forty-six million, four hundred fifty-six thousand, five hundred sixty-one".