503858961 has 40 divisors (see below), whose sum is σ = 769153440. Its totient is φ = 328629312.

The previous prime is 503858959. The next prime is 503858981. The reversal of 503858961 is 169858305.

503858961 is a `hidden beast` number, since 5 + 0 + 3 + 8 + 589 + 61 = 666.

It is not a de Polignac number, because 503858961 - 2¹ = 503858959 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (503858981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1231725 + ... + 1232133.

It is an arithmetic number, because the mean of its divisors is an integer number (19228836).

Almost surely, 2^503858961 is an apocalyptic number.

It is an amenable number.

503858961 is a deficient number, since it is larger than the sum of its proper divisors (265294479).

503858961 is a wasteful number, since it uses less digits than its factorization.

503858961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 503858961 is about 22446.8029126644. The cubic root of 503858961 is about 795.7372015520.

The spelling of 503858961 in words is "five hundred three million, eight hundred fifty-eight thousand, nine hundred sixty-one".