77585013 has 16 divisors (see below), whose sum is σ = 125390400. Its totient is φ = 47021040.

The previous prime is 77584993. The next prime is 77585017. The reversal of 77585013 is 31058577.

77585013 is a `hidden beast` number, since 77 + 585 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 77585013 - 2⁵ = 77584981 is a prime.

It is a super-3 number, since 3×77585013³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77585017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130318 + ... + 130911.

It is an arithmetic number, because the mean of its divisors is an integer number (7836900).

Almost surely, 2^77585013 is an apocalyptic number.

It is an amenable number.

77585013 is a deficient number, since it is larger than the sum of its proper divisors (47805387).

77585013 is a wasteful number, since it uses less digits than its factorization.

77585013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261249 (or 261243 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 77585013 is about 8808.2355213743. The cubic root of 77585013 is about 426.5067862750.

The spelling of 77585013 in words is "seventy-seven million, five hundred eighty-five thousand, thirteen".