47528796121 has 9 divisors (see below), whose sum is σ = 47750230399. Its totient is φ = 47308387000.

The previous prime is 47528796079. The next prime is 47528796247. The reversal of 47528796121 is 12169782574.

The square root of 47528796121 is 218011.

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

It can be written as a sum of positive squares in only one way, i.e., 40990456521 + 6538339600 = 202461^2 + 80860^2 .

It is not a de Polignac number, because 47528796121 - 2¹⁷ = 47528665049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47528790121) 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, 67801071 + ... + 67801771.

Almost surely, 2^47528796121 is an apocalyptic number.

47528796121 is the 218011-st square number.

47528796121 is the 109006-th centered octagonal number.

It is an amenable number.

47528796121 is a deficient number, since it is larger than the sum of its proper divisors (221434278).

47528796121 is an frugal number, since it uses more digits than its factorization.

47528796121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 1012 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 52.

The spelling of 47528796121 in words is "forty-seven billion, five hundred twenty-eight million, seven hundred ninety-six thousand, one hundred twenty-one".