11953125 has 48 divisors (see below), whose sum is σ = 22851504. Its totient is φ = 6000000.

The previous prime is 11953121. The next prime is 11953127. The reversal of 11953125 is 52135911.

It can be written as a sum of positive squares in 8 ways, for example, as 10556001 + 1397124 = 3249^2 + 1182^2 .

It is not a de Polignac number, because 11953125 - 2² = 11953121 is a prime.

Its product of digits (1350) is a multiple of the sum of its prime divisors (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11953121) 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, 703117 + ... + 703133.

It is an arithmetic number, because the mean of its divisors is an integer number (476073).

Almost surely, 2^11953125 is an apocalyptic number.

11953125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11953125 is a deficient number, since it is larger than the sum of its proper divisors (10898379).

11953125 is an frugal number, since it uses more digits than its factorization.

11953125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 25 counting only the distinct ones).

The product of its digits is 1350, while the sum is 27.

The square root of 11953125 is about 3457.3291714848. The cubic root of 11953125 is about 228.6443568443.

The spelling of 11953125 in words is "eleven million, nine hundred fifty-three thousand, one hundred twenty-five".