1953125 has 10 divisors (see below), whose sum is σ = 2441406. Its totient is φ = 1562500.

The previous prime is 1953109. The next prime is 1953151. The reversal of 1953125 is 5213591.

The cubic root of 1953125 is 125.

It is a perfect power (a cube, a 9-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 5 ways, for example, as 515524 + 1437601 = 718^2 + 1199^2 .

It is not a de Polignac number, because 1953125 - 2⁴ = 1953109 is a prime.

It is a Duffinian number.

Its product of digits (1350) is a multiple of the sum of its prime divisors (5).

It is a plaindrome in base 11.

It is a nialpdrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 1953094 and 1953103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 390623 + ... + 390627.

2^1953125 is an apocalyptic number.

It is an amenable number.

1953125 is a deficient number, since it is larger than the sum of its proper divisors (488281).

1953125 is an frugal number, since it uses more digits than its factorization.

1953125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 5 counting only the distinct ones).

The product of its digits is 1350, while the sum is 26.

The square root of 1953125 is about 1397.5424859374.

The spelling of 1953125 in words is "one million, nine hundred fifty-three thousand, one hundred twenty-five".