5259177 has 24 divisors (see below), whose sum is σ = 9472320. Its totient is φ = 2731680.

The previous prime is 5259173. The next prime is 5259209. The reversal of 5259177 is 7719525.

5259177 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5259177 - 2² = 5259173 is a prime.

5259177 is strictly pandigital in base 8.

5259177 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (5259173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3102 + ... + 4487.

It is an arithmetic number, because the mean of its divisors is an integer number (394680).

Almost surely, 2^5259177 is an apocalyptic number.

It is an amenable number.

5259177 is a deficient number, since it is larger than the sum of its proper divisors (4213143).

5259177 is a wasteful number, since it uses less digits than its factorization.

5259177 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7613 (or 7610 counting only the distinct ones).

The product of its digits is 22050, while the sum is 36.

The square root of 5259177 is about 2293.2895586907. The cubic root of 5259177 is about 173.9025415388.

The spelling of 5259177 in words is "five million, two hundred fifty-nine thousand, one hundred seventy-seven".