503212212305 has 32 divisors (see below), whose sum is σ = 672979304448. Its totient is φ = 358072574400.

The previous prime is 503212212259. The next prime is 503212212317.

It is a happy number.

503212212305 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 503212212305 - 2⁸ = 503212212049 is a prime.

It is a super-2 number, since 2×503212212305² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8612540 + ... + 8670770.

It is an arithmetic number, because the mean of its divisors is an integer number (21030603264).

Almost surely, 2^503212212305 is an apocalyptic number.

503212212305 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

503212212305 is a deficient number, since it is larger than the sum of its proper divisors (169767092143).

503212212305 is a wasteful number, since it uses less digits than its factorization.

503212212305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61637.

The product of its (nonzero) digits is 3600, while the sum is 26.

It can be divided in two parts, 503212 and 212305, that added together give a palindrome (715517).

The spelling of 503212212305 in words is "five hundred three billion, two hundred twelve million, two hundred twelve thousand, three hundred five".