512245098369 has 27 divisors (see below), whose sum is σ = 752430487107. Its totient is φ = 335812539600.

The previous prime is 512245098307. The next prime is 512245098383. The reversal of 512245098369 is 963890542215.

The square root of 512245098369 is 715713.

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

512245098369 is a `hidden beast` number, since 5 + 1 + 224 + 50 + 9 + 8 + 369 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16657257969 + 495587840400 = 129063^2 + 703980^2 .

It is not a de Polignac number, because 512245098369 - 2³⁷ = 374806144897 is a prime.

It is a super-2 number, since 2×512245098369² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (512245098389) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 130973524 + ... + 130977434.

Almost surely, 2^512245098369 is an apocalyptic number.

512245098369 is the 715713-rd square number.

512245098369 is the 357857-th centered octagonal number.

It is an amenable number.

512245098369 is a deficient number, since it is larger than the sum of its proper divisors (240185388738).

512245098369 is an frugal number, since it uses more digits than its factorization.

512245098369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7950 (or 3975 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 512245098369 in words is "five hundred twelve billion, two hundred forty-five million, ninety-eight thousand, three hundred sixty-nine".