503149761 has 9 divisors (see below), whose sum is σ = 726869091. Its totient is φ = 335388312.

The previous prime is 503149741. The next prime is 503149763. The reversal of 503149761 is 167941305.

The square root of 503149761 is 22431.

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

503149761 is a `hidden beast` number, since 503 + 1 + 4 + 97 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 481583025 + 21566736 = 21945^2 + 4644^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 503149761 - 2⁹ = 503149249 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (503149763) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 63555 + ... + 71031.

Almost surely, 2^503149761 is an apocalyptic number.

503149761 is the 22431-st square number.

503149761 is the 11216-th centered octagonal number.

It is an amenable number.

503149761 is a deficient number, since it is larger than the sum of its proper divisors (223719330).

503149761 is an frugal number, since it uses more digits than its factorization.

503149761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14960 (or 7480 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The cubic root of 503149761 is about 795.3636831343.

Multiplying 503149761 by its sum of digits (36), we get a square (18113391396 = 134586²).

The spelling of 503149761 in words is "five hundred three million, one hundred forty-nine thousand, seven hundred sixty-one".