1353125 has 12 divisors (see below), whose sum is σ = 1695204. Its totient is φ = 1080000.

The previous prime is 1353101. The next prime is 1353133. The reversal of 1353125 is 5213531.

It can be written as a sum of positive squares in 6 ways, for example, as 1295044 + 58081 = 1138^2 + 241^2 .

It is not a de Polignac number, because 1353125 - 2¹⁶ = 1287589 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1353097 and 1353106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2909 + ... + 3341.

It is an arithmetic number, because the mean of its divisors is an integer number (141267).

2^1353125 is an apocalyptic number.

It is an amenable number.

1353125 is a deficient number, since it is larger than the sum of its proper divisors (342079).

1353125 is an frugal number, since it uses more digits than its factorization.

1353125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 438 counting only the distinct ones).

The product of its digits is 450, while the sum is 20.

The square root of 1353125 is about 1163.2390124132. The cubic root of 1353125 is about 110.6061577493.

Adding to 1353125 its reverse (5213531), we get a palindrome (6566656).

It can be divided in two parts, 135 and 3125, that multiplied together give a cube (421875 = 75³).

The spelling of 1353125 in words is "one million, three hundred fifty-three thousand, one hundred twenty-five".