506007771 has 16 divisors (see below), whose sum is σ = 716436000. Its totient is φ = 316574208.

The previous prime is 506007769. The next prime is 506007793. The reversal of 506007771 is 177700605.

It is not a de Polignac number, because 506007771 - 2¹ = 506007769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (506007721) 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, 3585 + ... + 32013.

It is an arithmetic number, because the mean of its divisors is an integer number (44777250).

Almost surely, 2^506007771 is an apocalyptic number.

506007771 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

506007771 is a deficient number, since it is larger than the sum of its proper divisors (210428229).

506007771 is a wasteful number, since it uses less digits than its factorization.

506007771 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28798.

The product of its (nonzero) digits is 10290, while the sum is 33.

The square root of 506007771 is about 22494.6164892847. The cubic root of 506007771 is about 796.8667921769.

The spelling of 506007771 in words is "five hundred six million, seven thousand, seven hundred seventy-one".