13777125 has 16 divisors (see below), whose sum is σ = 22925760. Its totient is φ = 7347600.

The previous prime is 13777097. The next prime is 13777129. The reversal of 13777125 is 52177731.

13777125 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13777125 - 2¹³ = 13768933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13777129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17995 + ... + 18744.

It is an arithmetic number, because the mean of its divisors is an integer number (1432860).

Almost surely, 2^13777125 is an apocalyptic number.

13777125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13777125 is a deficient number, since it is larger than the sum of its proper divisors (9148635).

13777125 is an equidigital number, since it uses as much as digits as its factorization.

13777125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36757 (or 36747 counting only the distinct ones).

The product of its digits is 10290, while the sum is 33.

The square root of 13777125 is about 3711.7549757493. The cubic root of 13777125 is about 239.7284254517.

It can be divided in two parts, 1 and 3777125, that added together give a triangular number (3777126 = T₂₇₄₈).

The spelling of 13777125 in words is "thirteen million, seven hundred seventy-seven thousand, one hundred twenty-five".