507005221 has 16 divisors (see below), whose sum is σ = 535309488. Its totient is φ = 479692800.

The previous prime is 507005197. The next prime is 507005237. The reversal of 507005221 is 122500705.

It can be written as a sum of positive squares in 8 ways, for example, as 230614596 + 276390625 = 15186^2 + 16625^2 .

It is a cyclic number.

It is not a de Polignac number, because 507005221 - 2¹¹ = 507003173 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 507005192 and 507005201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507005021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181185 + ... + 183961.

It is an arithmetic number, because the mean of its divisors is an integer number (33456843).

Almost surely, 2^507005221 is an apocalyptic number.

It is an amenable number.

507005221 is a deficient number, since it is larger than the sum of its proper divisors (28304267).

507005221 is a wasteful number, since it uses less digits than its factorization.

507005221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952.

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 507005221 is about 22516.7764344721. The cubic root of 507005221 is about 797.3900470458.

Adding to 507005221 its reverse (122500705), we get a palindrome (629505926).

The spelling of 507005221 in words is "five hundred seven million, five thousand, two hundred twenty-one".