505876001 has 2 divisors, whose sum is σ = 505876002. Its totient is φ = 505876000.

The previous prime is 505875983. The next prime is 505876061. The reversal of 505876001 is 100678505.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 481363600 + 24512401 = 21940^2 + 4951^2 .

It is a cyclic number.

It is not a de Polignac number, because 505876001 - 2¹⁴ = 505859617 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (505876061) 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, 252938000 + 252938001.

It is an arithmetic number, because the mean of its divisors is an integer number (252938001).

Almost surely, 2^505876001 is an apocalyptic number.

It is an amenable number.

505876001 is a deficient number, since it is larger than the sum of its proper divisors (1).

505876001 is an equidigital number, since it uses as much as digits as its factorization.

505876001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 505876001 is about 22491.6873755617. The cubic root of 505876001 is about 796.7976152069.

The spelling of 505876001 in words is "five hundred five million, eight hundred seventy-six thousand, one".