507000001 has 2 divisors, whose sum is σ = 507000002. Its totient is φ = 507000000.

The previous prime is 506999957. The next prime is 507000023. The reversal of 507000001 is 100000705.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 463756225 + 43243776 = 21535^2 + 6576^2 .

It is a cyclic number.

It is not a de Polignac number, because 507000001 - 2¹⁵ = 506967233 is a prime.

It is not a weakly prime, because it can be changed into another prime (507000031) 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 as a sum of consecutive naturals, namely, 253500000 + 253500001.

It is an arithmetic number, because the mean of its divisors is an integer number (253500001).

Almost surely, 2^507000001 is an apocalyptic number.

It is an amenable number.

507000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

507000001 is an equidigital number, since it uses as much as digits as its factorization.

507000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35, while the sum is 13.

The square root of 507000001 is about 22516.6605206012. The cubic root of 507000001 is about 797.3873104597.

Adding to 507000001 its reverse (100000705), we get a palindrome (607000706).

The spelling of 507000001 in words is "five hundred seven million, one", and thus it is an aban number.