85557013 has 2 divisors, whose sum is σ = 85557014. Its totient is φ = 85557012.

The previous prime is 85556969. The next prime is 85557029. The reversal of 85557013 is 31075558.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52171729 + 33385284 = 7223^2 + 5778^2 .

It is a cyclic number.

It is not a de Polignac number, because 85557013 - 2¹⁷ = 85425941 is a prime.

It is equal to p_4974271 and since 85557013 and 4974271 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85557013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85557083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42778506 + 42778507.

It is an arithmetic number, because the mean of its divisors is an integer number (42778507).

Almost surely, 2^85557013 is an apocalyptic number.

It is an amenable number.

85557013 is a deficient number, since it is larger than the sum of its proper divisors (1).

85557013 is an equidigital number, since it uses as much as digits as its factorization.

85557013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21000, while the sum is 34.

The square root of 85557013 is about 9249.7034006502. The cubic root of 85557013 is about 440.6413048508.

The spelling of 85557013 in words is "eighty-five million, five hundred fifty-seven thousand, thirteen".