507142121 has 2 divisors, whose sum is σ = 507142122. Its totient is φ = 507142120.

The previous prime is 507142099. The next prime is 507142123. The reversal of 507142121 is 121241705.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 494617600 + 12524521 = 22240^2 + 3539^2 .

It is a cyclic number.

It is not a de Polignac number, because 507142121 - 2⁶ = 507142057 is a prime.

Together with 507142123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (507142123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253571060 + 253571061.

It is an arithmetic number, because the mean of its divisors is an integer number (253571061).

Almost surely, 2^507142121 is an apocalyptic number.

It is an amenable number.

507142121 is a deficient number, since it is larger than the sum of its proper divisors (1).

507142121 is an equidigital number, since it uses as much as digits as its factorization.

507142121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 507142121 is about 22519.8161848626. The cubic root of 507142121 is about 797.4618101948.

Adding to 507142121 its reverse (121241705), we get a palindrome (628383826).

The spelling of 507142121 in words is "five hundred seven million, one hundred forty-two thousand, one hundred twenty-one".