52664533546625 has 128 divisors (see below), whose sum is σ = 88890772239360. Its totient is φ = 30083256576000.

The previous prime is 52664533546607. The next prime is 52664533546631.

It is a happy number.

52664533546625 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52664533546625 - 2¹² = 52664533542529 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15606011 + ... + 18678239.

It is an arithmetic number, because the mean of its divisors is an integer number (694459158120).

Almost surely, 2^{52664533546625} is an apocalyptic number.

52664533546625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52664533546625 is a deficient number, since it is larger than the sum of its proper divisors (36226238692735).

52664533546625 is a wasteful number, since it uses less digits than its factorization.

52664533546625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072412 (or 3072402 counting only the distinct ones).

The product of its digits is 466560000, while the sum is 62.

The spelling of 52664533546625 in words is "fifty-two trillion, six hundred sixty-four billion, five hundred thirty-three million, five hundred forty-six thousand, six hundred twenty-five".