503368965225 has 243 divisors, whose sum is σ = 1090882062543. Its totient is φ = 221223098880.

The previous prime is 503368965223. The next prime is 503368965257. The reversal of 503368965225 is 522569863305.

The square root of 503368965225 is 709485.

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

503368965225 is a `hidden beast` number, since 5 + 0 + 3 + 36 + 89 + 6 + 522 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 444191591529 + 59177373696 = 666477^2 + 243264^2 .

It is not a de Polignac number, because 503368965225 - 2¹ = 503368965223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (503368965223) 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 242 ways as a sum of consecutive naturals, for example, 2160381709 + ... + 2160381941.

Almost surely, 2^503368965225 is an apocalyptic number.

503368965225 is the 709485-th square number.

503368965225 is the 354743-rd centered octagonal number.

It is an amenable number.

503368965225 is an abundant number, since it is smaller than the sum of its proper divisors (587513097318).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

503368965225 is a wasteful number, since it uses less digits than its factorization.

503368965225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 503368965225 in words is "five hundred three billion, three hundred sixty-eight million, nine hundred sixty-five thousand, two hundred twenty-five".