52112531647801 has 9 divisors (see below), whose sum is σ = 52465710393901. Its totient is φ = 51761714715904.

The previous prime is 52112531647711. The next prime is 52112531647807. The reversal of 52112531647801 is 10874613521125.

It is a happy number.

The square root of 52112531647801 is 7218901.

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 4140008159401 + 47972523488400 = 2034701^2 + 6926220^2 .

It is not a de Polignac number, because 52112531647801 - 2⁹ = 52112531647289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52112531647807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1075592025 + ... + 1075640473.

Almost surely, 2^{52112531647801} is an apocalyptic number.

52112531647801 is the 7218901-st square number.

52112531647801 is the 3609451-st centered octagonal number.

It is an amenable number.

52112531647801 is a deficient number, since it is larger than the sum of its proper divisors (353178746100).

52112531647801 is an frugal number, since it uses more digits than its factorization.

52112531647801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97196 (or 48598 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 46.

The spelling of 52112531647801 in words is "fifty-two trillion, one hundred twelve billion, five hundred thirty-one million, six hundred forty-seven thousand, eight hundred one".