505755121 has 9 divisors (see below), whose sum is σ = 518782329. Its totient is φ = 493048836.

The previous prime is 505755113. The next prime is 505755127. The reversal of 505755121 is 121557505.

The square root of 505755121 is 22489.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 505755121 - 2³ = 505755113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (505755127) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 966766 + ... + 967288.

It is an arithmetic number, because the mean of its divisors is an integer number (57642481).

Almost surely, 2^505755121 is an apocalyptic number.

505755121 is the 22489-th square number.

505755121 is the 11245-th centered octagonal number.

It is an amenable number.

505755121 is a deficient number, since it is larger than the sum of its proper divisors (13027208).

505755121 is an frugal number, since it uses more digits than its factorization.

505755121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 8750, while the sum is 31.

The cubic root of 505755121 is about 796.7341447331.

It can be divided in two parts, 50575 and 5121, that added together give a square (55696 = 236²).

The spelling of 505755121 in words is "five hundred five million, seven hundred fifty-five thousand, one hundred twenty-one".