505959363 has 24 divisors (see below), whose sum is σ = 899484768. Its totient is φ = 266879232.

The previous prime is 505959323. The next prime is 505959403. The reversal of 505959363 is 363959505.

It is a happy number.

505959363 is a `hidden beast` number, since 5 + 0 + 59 + 593 + 6 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (505959323) and next prime (505959403).

It is not a de Polignac number, because 505959363 - 2¹⁶ = 505893827 is a prime.

It is not an unprimeable number, because it can be changed into a prime (505959323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308070 + ... + 309707.

It is an arithmetic number, because the mean of its divisors is an integer number (37478532).

Almost surely, 2^505959363 is an apocalyptic number.

505959363 is a deficient number, since it is larger than the sum of its proper divisors (393525405).

505959363 is a wasteful number, since it uses less digits than its factorization.

505959363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617803 (or 617800 counting only the distinct ones).

The product of its (nonzero) digits is 546750, while the sum is 45.

The square root of 505959363 is about 22493.5404727668. The cubic root of 505959363 is about 796.8413802102.

The spelling of 505959363 in words is "five hundred five million, nine hundred fifty-nine thousand, three hundred sixty-three".