507242257 has 2 divisors, whose sum is σ = 507242258. Its totient is φ = 507242256.

The previous prime is 507242251. The next prime is 507242261. The reversal of 507242257 is 752242705.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 368025856 + 139216401 = 19184^2 + 11799^2 .

It is a cyclic number.

It is not a de Polignac number, because 507242257 - 2⁷ = 507242129 is a prime.

It is not a weakly prime, because it can be changed into another prime (507242251) 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 as a sum of consecutive naturals, namely, 253621128 + 253621129.

It is an arithmetic number, because the mean of its divisors is an integer number (253621129).

Almost surely, 2^507242257 is an apocalyptic number.

It is an amenable number.

507242257 is a deficient number, since it is larger than the sum of its proper divisors (1).

507242257 is an equidigital number, since it uses as much as digits as its factorization.

507242257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39200, while the sum is 34.

The square root of 507242257 is about 22522.0393614788. The cubic root of 507242257 is about 797.5142934320.

The spelling of 507242257 in words is "five hundred seven million, two hundred forty-two thousand, two hundred fifty-seven".