1506825 has 36 divisors (see below), whose sum is σ = 2787148. Its totient is φ = 777600.

The previous prime is 1506823. The next prime is 1506839. The reversal of 1506825 is 5286051.

It can be written as a sum of positive squares in 6 ways, for example, as 95481 + 1411344 = 309^2 + 1188^2 .

It is not a de Polignac number, because 1506825 - 2¹ = 1506823 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1506823) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8235 + ... + 8415.

2^1506825 is an apocalyptic number.

1506825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1506825 is a deficient number, since it is larger than the sum of its proper divisors (1280323).

1506825 is a wasteful number, since it uses less digits than its factorization.

1506825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1506825 is about 1227.5280037539. The cubic root of 1506825 is about 114.6447765963.

The spelling of 1506825 in words is "one million, five hundred six thousand, eight hundred twenty-five".