505100000061 has 12 divisors (see below), whose sum is σ = 749307508092. Its totient is φ = 327632432256.

The previous prime is 505100000033. The next prime is 505100000071. The reversal of 505100000061 is 160000001505.

505100000061 is a `hidden beast` number, since 505 + 100 + 0 + 0 + 0 + 0 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 239493763161 + 265606236900 = 489381^2 + 515370^2 .

It is not a de Polignac number, because 505100000061 - 2⁹ = 505099999549 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505100000071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 758408076 + ... + 758408741.

It is an arithmetic number, because the mean of its divisors is an integer number (62442292341).

Almost surely, 2^505100000061 is an apocalyptic number.

It is an amenable number.

505100000061 is a deficient number, since it is larger than the sum of its proper divisors (244207508031).

505100000061 is a wasteful number, since it uses less digits than its factorization.

505100000061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516816860 (or 1516816857 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 505100000061 its reverse (160000001505), we get a palindrome (665100001566).

The spelling of 505100000061 in words is "five hundred five billion, one hundred million, sixty-one", and thus it is an aban number.