52472606761 has 9 divisors (see below), whose sum is σ = 52696440549. Its totient is φ = 52249722624.

The previous prime is 52472606749. The next prime is 52472606833. The reversal of 52472606761 is 16760627425.

The square root of 52472606761 is 229069.

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 30951716761 + 21520890000 = 175931^2 + 146700^2 .

It is not a de Polignac number, because 52472606761 - 2¹¹ = 52472604713 is a prime.

It is a super-2 number, since 2×52472606761² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52472604761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 90940105 + ... + 90940681.

It is an arithmetic number, because the mean of its divisors is an integer number (5855160061).

Almost surely, 2^52472606761 is an apocalyptic number.

52472606761 is the 229069-th square number.

52472606761 is the 114535-th centered octagonal number.

It is an amenable number.

52472606761 is a deficient number, since it is larger than the sum of its proper divisors (223833788).

52472606761 is an frugal number, since it uses more digits than its factorization.

52472606761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The spelling of 52472606761 in words is "fifty-two billion, four hundred seventy-two million, six hundred six thousand, seven hundred sixty-one".