1506 has 8 divisors (see below), whose sum is σ = 3024. Its totient is φ = 500.

The previous prime is 1499. The next prime is 1511. The reversal of 1506 is 6051.

1506 is nontrivially palindromic in base 15.

It is a sphenic number, since it is the product of 3 distinct primes.

1506 is an admirable number.

1506 is an undulating number in base 15.

It is a plaindrome in base 11 and base 13.

It is a junction number, because it is equal to n+sod(n) for n = 1491 and 1500.

It is an unprimeable number.

1506 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 120 + ... + 131.

It is an arithmetic number, because the mean of its divisors is an integer number (378).

1506 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512).

1506 is a wasteful number, since it uses less digits than its factorization.

1506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1506 is about 38.8072158239. The cubic root of 1506 is about 11.4623849767.

Adding to 1506 its reverse (6051), we get a palindrome (7557).

It can be divided in two parts, 150 and 6, that multiplied together give a square (900 = 30²).

The spelling of 1506 in words is "one thousand, five hundred six".