505256661 has 48 divisors (see below), whose sum is σ = 910990080. Its totient is φ = 262725120.

The previous prime is 505256659. The next prime is 505256681. The reversal of 505256661 is 166652505.

It is a happy number.

It is not a de Polignac number, because 505256661 - 2¹ = 505256659 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505256611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53805 + ... + 62493.

It is an arithmetic number, because the mean of its divisors is an integer number (18978960).

Almost surely, 2^505256661 is an apocalyptic number.

It is an amenable number.

505256661 is a deficient number, since it is larger than the sum of its proper divisors (405733419).

505256661 is a wasteful number, since it uses less digits than its factorization.

505256661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8786 (or 8783 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 505256661 is about 22477.9149611346. The cubic root of 505256661 is about 796.4723114022.

The spelling of 505256661 in words is "five hundred five million, two hundred fifty-six thousand, six hundred sixty-one".