505901361 has 16 divisors (see below), whose sum is σ = 771746688. Its totient is φ = 288768000.

The previous prime is 505901327. The next prime is 505901401. The reversal of 505901361 is 163109505.

It is not a de Polignac number, because 505901361 - 2⁷ = 505901233 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (505901311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6961 + ... + 32561.

It is an arithmetic number, because the mean of its divisors is an integer number (48234168).

Almost surely, 2^505901361 is an apocalyptic number.

It is an amenable number.

505901361 is a deficient number, since it is larger than the sum of its proper divisors (265845327).

505901361 is a wasteful number, since it uses less digits than its factorization.

505901361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26552.

The product of its (nonzero) digits is 4050, while the sum is 30.

The square root of 505901361 is about 22492.2511323344. The cubic root of 505901361 is about 796.8109297015.

The spelling of 505901361 in words is "five hundred five million, nine hundred one thousand, three hundred sixty-one".