505117621 has 8 divisors (see below), whose sum is σ = 522790200. Its totient is φ = 487462080.

The previous prime is 505117619. The next prime is 505117661. The reversal of 505117621 is 126711505.

It can be written as a sum of positive squares in 4 ways, for example, as 54022500 + 451095121 = 7350^2 + 21239^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 505117621 - 2¹ = 505117619 is a prime.

It is a super-2 number, since 2×505117621² = 510287622089399282, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 505117621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505117661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98091 + ... + 103111.

It is an arithmetic number, because the mean of its divisors is an integer number (65348775).

Almost surely, 2^505117621 is an apocalyptic number.

It is an amenable number.

505117621 is a deficient number, since it is larger than the sum of its proper divisors (17672579).

505117621 is a wasteful number, since it uses less digits than its factorization.

505117621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8519.

The product of its (nonzero) digits is 2100, while the sum is 28.

The square root of 505117621 is about 22474.8219347785. The cubic root of 505117621 is about 796.3992451249.

The spelling of 505117621 in words is "five hundred five million, one hundred seventeen thousand, six hundred twenty-one".