5953125 has 28 divisors (see below), whose sum is σ = 9999872. Its totient is φ = 3150000.

The previous prime is 5953117. The next prime is 5953133. The reversal of 5953125 is 5213595.

It is an interprime number because it is at equal distance from previous prime (5953117) and next prime (5953133).

It is not a de Polignac number, because 5953125 - 2³ = 5953117 is a prime.

It is a Duffinian number.

Its product of digits (6750) is a multiple of the sum of its prime divisors (135).

5953125 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 5953092 and 5953101.

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 27 ways as a sum of consecutive naturals, for example, 46812 + ... + 46938.

Almost surely, 2^5953125 is an apocalyptic number.

It is an amenable number.

5953125 is a deficient number, since it is larger than the sum of its proper divisors (4046747).

5953125 is an frugal number, since it uses more digits than its factorization.

5953125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 135 counting only the distinct ones).

The product of its digits is 6750, while the sum is 30.

The square root of 5953125 is about 2439.9026619929. The cubic root of 5953125 is about 181.2376131051.

The spelling of 5953125 in words is "five million, nine hundred fifty-three thousand, one hundred twenty-five".