1506561 has 8 divisors (see below), whose sum is σ = 2295744. Its totient is φ = 860880.

The previous prime is 1506559. The next prime is 1506563. The reversal of 1506561 is 1656051.

It is an interprime number because it is at equal distance from previous prime (1506559) and next prime (1506563).

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

It is not a de Polignac number, because 1506561 - 2¹ = 1506559 is a prime.

1506561 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1506563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35850 + ... + 35891.

It is an arithmetic number, because the mean of its divisors is an integer number (286968).

2^1506561 is an apocalyptic number.

It is an amenable number.

1506561 is a deficient number, since it is larger than the sum of its proper divisors (789183).

1506561 is an equidigital number, since it uses as much as digits as its factorization.

1506561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71751.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 1506561 is about 1227.4204658551. The cubic root of 1506561 is about 114.6380808423.

The spelling of 1506561 in words is "one million, five hundred six thousand, five hundred sixty-one".