512263505 has 16 divisors (see below), whose sum is σ = 665933520. Its totient is φ = 378278784.

The previous prime is 512263501. The next prime is 512263513. The reversal of 512263505 is 505362215.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 438148624 + 74114881 = 20932^2 + 8609^2 .

It is not a de Polignac number, because 512263505 - 2² = 512263501 is a prime.

It is a super-3 number, since 3×512263505³ (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (512263501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12332 + ... + 34301.

It is an arithmetic number, because the mean of its divisors is an integer number (41620845).

Almost surely, 2^512263505 is an apocalyptic number.

It is an amenable number.

512263505 is a deficient number, since it is larger than the sum of its proper divisors (153670015).

512263505 is an equidigital number, since it uses as much as digits as its factorization.

512263505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46677 (or 46651 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

The square root of 512263505 is about 22633.2389418748. The cubic root of 512263505 is about 800.1372186500.

The spelling of 512263505 in words is "five hundred twelve million, two hundred sixty-three thousand, five hundred five".