503253200505105 has 32 divisors (see below), whose sum is σ = 894796291190400. Its totient is φ = 268364526515136.

The previous prime is 503253200505101. The next prime is 503253200505113. The reversal of 503253200505105 is 501505002352305.

503253200505105 is a `hidden beast` number, since 5 + 0 + 3 + 25 + 3 + 20 + 0 + 505 + 105 = 666.

It is not a de Polignac number, because 503253200505105 - 2² = 503253200505101 is a prime.

It is a super-2 number, since 2×503253200505105² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 503253200505105.

It is not an unprimeable number, because it can be changed into a prime (503253200505101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257219194 + ... + 259168323.

It is an arithmetic number, because the mean of its divisors is an integer number (27962384099700).

Almost surely, 2^{503253200505105} is an apocalyptic number.

It is an amenable number.

503253200505105 is a deficient number, since it is larger than the sum of its proper divisors (391543090685295).

503253200505105 is a wasteful number, since it uses less digits than its factorization.

503253200505105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516394750 (or 516394744 counting only the distinct ones).

The product of its (nonzero) digits is 112500, while the sum is 36.

The spelling of 503253200505105 in words is "five hundred three trillion, two hundred fifty-three billion, two hundred million, five hundred five thousand, one hundred five".