1306125 has 48 divisors (see below), whose sum is σ = 2498496. Its totient is φ = 680400.

The previous prime is 1306121. The next prime is 1306133. The reversal of 1306125 is 5216031.

It is not a de Polignac number, because 1306125 - 2² = 1306121 is a prime.

It is a Curzon number.

1306125 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 1306098 and 1306107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30354 + ... + 30396.

It is an arithmetic number, because the mean of its divisors is an integer number (52052).

2^1306125 is an apocalyptic number.

1306125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1306125 is a deficient number, since it is larger than the sum of its proper divisors (1192371).

1306125 is an frugal number, since it uses more digits than its factorization.

1306125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 51 counting only the distinct ones).

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

The square root of 1306125 is about 1142.8582589280. The cubic root of 1306125 is about 109.3104244668.

It can be divided in two parts, 1306 and 125, that added together give a triangular number (1431 = T₅₃).

The spelling of 1306125 in words is "one million, three hundred six thousand, one hundred twenty-five".