505010111001 has 16 divisors (see below), whose sum is σ = 740630912448. Its totient is φ = 306066731520.

The previous prime is 505010110879. The next prime is 505010111017. The reversal of 505010111001 is 100111010505.

It is not a de Polignac number, because 505010111001 - 2¹⁵ = 505010078233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (505010111101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63232936 + ... + 63240921.

It is an arithmetic number, because the mean of its divisors is an integer number (46289432028).

Almost surely, 2^505010111001 is an apocalyptic number.

It is an amenable number.

505010111001 is a deficient number, since it is larger than the sum of its proper divisors (235620801447).

505010111001 is a wasteful number, since it uses less digits than its factorization.

505010111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126473893 (or 126473871 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 15.

Adding to 505010111001 its reverse (100111010505), we get a palindrome (605121121506).

The spelling of 505010111001 in words is "five hundred five billion, ten million, one hundred eleven thousand, one".