510263643364225 has 12 divisors (see below), whose sum is σ = 635079062455740. Its totient is φ = 406693401992000.

The previous prime is 510263643364207. The next prime is 510263643364229. The reversal of 510263643364225 is 522463346362015.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 11291293503504 + 498972349860721 = 3360252^2 + 22337689^2 .

It is not a de Polignac number, because 510263643364225 - 2¹⁵ = 510263643331457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (510263643364229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37937810626 + ... + 37937824075.

It is an arithmetic number, because the mean of its divisors is an integer number (52923255204645).

Almost surely, 2^{510263643364225} is an apocalyptic number.

It is an amenable number.

510263643364225 is a deficient number, since it is larger than the sum of its proper divisors (124815419091515).

510263643364225 is a wasteful number, since it uses less digits than its factorization.

510263643364225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75875634980 (or 75875634975 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 52.

The spelling of 510263643364225 in words is "five hundred ten trillion, two hundred sixty-three billion, six hundred forty-three million, three hundred sixty-four thousand, two hundred twenty-five".