531006120 has 48 divisors (see below), whose sum is σ = 1725771060. Its totient is φ = 141601536.

The previous prime is 531006103. The next prime is 531006121. The reversal of 531006120 is 21600135.

531006120 is a `hidden beast` number, since 53 + 1 + 0 + 0 + 612 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 481978116 + 49028004 = 21954^2 + 7002^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 531006093 and 531006102.

It is not an unprimeable number, because it can be changed into a prime (531006121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 737149 + ... + 737868.

Almost surely, 2^531006120 is an apocalyptic number.

It is an amenable number.

531006120 is an abundant number, since it is smaller than the sum of its proper divisors (1194764940).

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

531006120 is a wasteful number, since it uses less digits than its factorization.

531006120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475034 (or 1475027 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 531006120 is about 23043.5700359124. The cubic root of 531006120 is about 809.7789977772.

Adding to 531006120 its reverse (21600135), we get a palindrome (552606255).

The spelling of 531006120 in words is "five hundred thirty-one million, six thousand, one hundred twenty".