513473998041 has 45 divisors (see below), whose sum is σ = 775564024719. Its totient is φ = 338554000944.

The previous prime is 513473997989. The next prime is 513473998151. The reversal of 513473998041 is 140899374315.

The square root of 513473998041 is 716571.

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

513473998041 is a `hidden beast` number, since 5 + 1 + 3 + 473 + 99 + 80 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32675985225 + 480798012816 = 180765^2 + 693396^2 .

It is not a de Polignac number, because 513473998041 - 2¹⁵ = 513473965273 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (513473994041) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 664260931 + ... + 664261703.

Almost surely, 2^513473998041 is an apocalyptic number.

513473998041 is the 716571-st square number.

513473998041 is the 358286-th centered octagonal number.

It is an amenable number.

513473998041 is a deficient number, since it is larger than the sum of its proper divisors (262090026678).

513473998041 is an frugal number, since it uses more digits than its factorization.

513473998041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 513473998041 in words is "five hundred thirteen billion, four hundred seventy-three million, nine hundred ninety-eight thousand, forty-one".