47503510209 has 45 divisors (see below), whose sum is σ = 72326598201. Its totient is φ = 31071379680.

The previous prime is 47503510199. The next prime is 47503510211. The reversal of 47503510209 is 90201530574.

The square root of 47503510209 is 217953.

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

47503510209 is a `hidden beast` number, since 47 + 503 + 5 + 102 + 0 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8270993025 + 39232517184 = 90945^2 + 198072^2 .

It is not a de Polignac number, because 47503510209 - 2¹⁹ = 47502985921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (47503510409) 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 44 ways as a sum of consecutive naturals, for example, 119655999 + ... + 119656395.

Almost surely, 2^47503510209 is an apocalyptic number.

47503510209 is the 217953-rd square number.

47503510209 is the 108977-th centered octagonal number.

It is an amenable number.

47503510209 is a deficient number, since it is larger than the sum of its proper divisors (24823087992).

47503510209 is an frugal number, since it uses more digits than its factorization.

47503510209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

Multiplying 47503510209 by its sum of digits (36), we get a square (1710126367524 = 1307718²).

The spelling of 47503510209 in words is "forty-seven billion, five hundred three million, five hundred ten thousand, two hundred nine".