505120601 has 2 divisors, whose sum is σ = 505120602. Its totient is φ = 505120600.

The previous prime is 505120597. The next prime is 505120619. The reversal of 505120601 is 106021505.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 491065600 + 14055001 = 22160^2 + 3749^2 .

It is a cyclic number.

It is not a de Polignac number, because 505120601 - 2² = 505120597 is a prime.

It is not a weakly prime, because it can be changed into another prime (505120631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252560300 + 252560301.

It is an arithmetic number, because the mean of its divisors is an integer number (252560301).

Almost surely, 2^505120601 is an apocalyptic number.

It is an amenable number.

505120601 is a deficient number, since it is larger than the sum of its proper divisors (1).

505120601 is an equidigital number, since it uses as much as digits as its factorization.

505120601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 505120601 is about 22474.8882310903. Note that the first 3 decimals coincide. The cubic root of 505120601 is about 796.4008112717.

It can be divided in two parts, 505120 and 601, that multiplied together give a triangular number (303577120 = T₂₄₆₄₀).

The spelling of 505120601 in words is "five hundred five million, one hundred twenty thousand, six hundred one".