506701000 has 64 divisors (see below), whose sum is σ = 1276919280. Its totient is φ = 187084800.

The previous prime is 506700959. The next prime is 506701003. The reversal of 506701000 is 107605.

It can be written as a sum of positive squares in 8 ways, for example, as 39363076 + 467337924 = 6274^2 + 21618^2 .

It is not an unprimeable number, because it can be changed into a prime (506701003) 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, 6489 + ... + 32488.

Almost surely, 2^506701000 is an apocalyptic number.

506701000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506701000 is an abundant number, since it is smaller than the sum of its proper divisors (770218280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506701000 is a wasteful number, since it uses less digits than its factorization.

506701000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39011 (or 38997 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 506701000 is about 22510.0199911062. The cubic root of 506701000 is about 797.2305277595.

Adding to 506701000 its reverse (107605), we get a palindrome (506808605).

The spelling of 506701000 in words is "five hundred six million, seven hundred one thousand".