20953125 has 42 divisors (see below), whose sum is σ = 38085450. Its totient is φ = 11100000.

The previous prime is 20953123. The next prime is 20953133. The reversal of 20953125 is 52135902.

20953125 = T₂₁₆ + T₂₁₇ + ... + T₅₁₃.

It can be written as a sum of positive squares in 7 ways, for example, as 19660356 + 1292769 = 4434^2 + 1137^2 .

It is not a de Polignac number, because 20953125 - 2¹ = 20953123 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20953123) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 140551 + ... + 140699.

Almost surely, 2^20953125 is an apocalyptic number.

20953125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20953125 is a deficient number, since it is larger than the sum of its proper divisors (17132325).

20953125 is an frugal number, since it uses more digits than its factorization.

20953125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 20953125 is about 4577.4583559001. The cubic root of 20953125 is about 275.6869876160.

The spelling of 20953125 in words is "twenty million, nine hundred fifty-three thousand, one hundred twenty-five".