505506106051 has 16 divisors (see below), whose sum is σ = 544182566400. Its totient is φ = 468156780000.

The previous prime is 505506106033. The next prime is 505506106069. The reversal of 505506106051 is 150601605505.

It is an interprime number because it is at equal distance from previous prime (505506106033) and next prime (505506106069).

It is a cyclic number.

It is not a de Polignac number, because 505506106051 - 2¹⁵ = 505506073283 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 505506105998 and 505506106016.

It is not an unprimeable number, because it can be changed into a prime (505506106031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1515625 + ... + 1818826.

It is an arithmetic number, because the mean of its divisors is an integer number (34011410400).

Almost surely, 2^505506106051 is an apocalyptic number.

505506106051 is a deficient number, since it is larger than the sum of its proper divisors (38676460349).

505506106051 is a wasteful number, since it uses less digits than its factorization.

505506106051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334650.

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 505506106051 in words is "five hundred five billion, five hundred six million, one hundred six thousand, fifty-one".