506042264145 has 32 divisors (see below), whose sum is σ = 888208312320. Its totient is φ = 243983119040.

The previous prime is 506042264131. The next prime is 506042264149. The reversal of 506042264145 is 541462240605.

It is not a de Polignac number, because 506042264145 - 2⁴ = 506042264129 is a prime.

It is a super-3 number, since 3×506042264145³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (506042264149) 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 31 ways as a sum of consecutive naturals, for example, 8537289 + ... + 8596358.

It is an arithmetic number, because the mean of its divisors is an integer number (27756509760).

Almost surely, 2^506042264145 is an apocalyptic number.

506042264145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

506042264145 is a deficient number, since it is larger than the sum of its proper divisors (382166048175).

506042264145 is a wasteful number, since it uses less digits than its factorization.

506042264145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17133845.

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 506042264145 in words is "five hundred six billion, forty-two million, two hundred sixty-four thousand, one hundred forty-five".