505072121 has 2 divisors, whose sum is σ = 505072122. Its totient is φ = 505072120.

The previous prime is 505071997. The next prime is 505072133. The reversal of 505072121 is 121270505.

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., 498896896 + 6175225 = 22336^2 + 2485^2 .

It is a cyclic number.

It is not a de Polignac number, because 505072121 - 2¹⁰ = 505071097 is a prime.

It is a super-2 number, since 2×505072121² = 510195694822877282, which contains 22 as substring.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is not a weakly prime, because it can be changed into another prime (505072151) 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, 252536060 + 252536061.

It is an arithmetic number, because the mean of its divisors is an integer number (252536061).

Almost surely, 2^505072121 is an apocalyptic number.

It is an amenable number.

505072121 is a deficient number, since it is larger than the sum of its proper divisors (1).

505072121 is an equidigital number, since it uses as much as digits as its factorization.

505072121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 700, while the sum is 23.

The square root of 505072121 is about 22473.8096681448. The cubic root of 505072121 is about 796.3753317152.

The spelling of 505072121 in words is "five hundred five million, seventy-two thousand, one hundred twenty-one".