13505377 has 2 divisors, whose sum is σ = 13505378. Its totient is φ = 13505376.

The previous prime is 13505363. The next prime is 13505381. The reversal of 13505377 is 77350531.

It is a happy number.

13505377 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8994001 + 4511376 = 2999^2 + 2124^2 .

It is a cyclic number.

It is not a de Polignac number, because 13505377 - 2¹⁵ = 13472609 is a prime.

It is not a weakly prime, because it can be changed into another prime (13505357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6752688 + 6752689.

It is an arithmetic number, because the mean of its divisors is an integer number (6752689).

Almost surely, 2^13505377 is an apocalyptic number.

It is an amenable number.

13505377 is a deficient number, since it is larger than the sum of its proper divisors (1).

13505377 is an equidigital number, since it uses as much as digits as its factorization.

13505377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11025, while the sum is 31.

The square root of 13505377 is about 3674.9662583485. The cubic root of 13505377 is about 238.1417663971.

The spelling of 13505377 in words is "thirteen million, five hundred five thousand, three hundred seventy-seven".