223535772513 has 72 divisors (see below), whose sum is σ = 363453985440. Its totient is φ = 131882868480.

The previous prime is 223535772503. The next prime is 223535772529. The reversal of 223535772513 is 315277535322.

223535772513 is a `hidden beast` number, since 2 + 2 + 3 + 53 + 577 + 25 + 1 + 3 = 666.

It is not a de Polignac number, because 223535772513 - 2²⁸ = 223267337057 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (223535772503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4751878 + ... + 4798688.

It is an arithmetic number, because the mean of its divisors is an integer number (5047972020).

Almost surely, 2^223535772513 is an apocalyptic number.

223535772513 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

223535772513 is a deficient number, since it is larger than the sum of its proper divisors (139918212927).

223535772513 is a wasteful number, since it uses less digits than its factorization.

223535772513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46939 (or 46913 counting only the distinct ones).

The product of its digits is 1323000, while the sum is 45.

The spelling of 223535772513 in words is "two hundred twenty-three billion, five hundred thirty-five million, seven hundred seventy-two thousand, five hundred thirteen".