503405346132 has 72 divisors (see below), whose sum is σ = 1372553786240. Its totient is φ = 154648388160.

The previous prime is 503405346097. The next prime is 503405346137. The reversal of 503405346132 is 231643504305.

503405346132 is a `hidden beast` number, since 5 + 0 + 3 + 4 + 0 + 5 + 34 + 613 + 2 = 666.

It is a super-2 number, since 2×503405346132² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (503405346137) 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 23 ways as a sum of consecutive naturals, for example, 557032 + ... + 1147647.

Almost surely, 2^503405346132 is an apocalyptic number.

503405346132 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

503405346132 is an abundant number, since it is smaller than the sum of its proper divisors (869148440108).

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

503405346132 is a wasteful number, since it uses less digits than its factorization.

503405346132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705333 (or 1705328 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 503405346132 in words is "five hundred three billion, four hundred five million, three hundred forty-six thousand, one hundred thirty-two".