505610106101 has 8 divisors (see below), whose sum is σ = 514360265304. Its totient is φ = 496909244160.

The previous prime is 505610106083. The next prime is 505610106193. The reversal of 505610106101 is 101601016505.

It can be written as a sum of positive squares in 4 ways, for example, as 169146303076 + 336463803025 = 411274^2 + 580055^2 .

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 505610106101 - 2¹⁸ = 505609843957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505610109101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12303626 + ... + 12344651.

It is an arithmetic number, because the mean of its divisors is an integer number (64295033163).

Almost surely, 2^505610106101 is an apocalyptic number.

It is an amenable number.

505610106101 is a deficient number, since it is larger than the sum of its proper divisors (8750159203).

505610106101 is a wasteful number, since it uses less digits than its factorization.

505610106101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24648631.

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 505610106101 in words is "five hundred five billion, six hundred ten million, one hundred six thousand, one hundred one".