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85624158013 is a prime number
BaseRepresentation
bin100111110111110011…
…0001111011100111101
322012000021221220101121
41033233212033130331
52400324241024023
6103200222510541
76120563222512
oct1175746173475
9265007856347
1085624158013
1133349672259
1214717435451
1380c739a174
144203ab1309
152362115d5d
hex13ef98f73d

85624158013 has 2 divisors, whose sum is σ = 85624158014. Its totient is φ = 85624158012.

The previous prime is 85624158007. The next prime is 85624158019. The reversal of 85624158013 is 31085142658.

It is a balanced prime because it is at equal distance from previous prime (85624158007) and next prime (85624158019).

It can be written as a sum of positive squares in only one way, i.e., 85622367769 + 1790244 = 292613^2 + 1338^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85624158013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85624158019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42812079006 + 42812079007.

It is an arithmetic number, because the mean of its divisors is an integer number (42812079007).

Almost surely, 285624158013 is an apocalyptic number.

It is an amenable number.

85624158013 is a deficient number, since it is larger than the sum of its proper divisors (1).

85624158013 is an equidigital number, since it uses as much as digits as its factorization.

85624158013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 230400, while the sum is 43.

The spelling of 85624158013 in words is "eighty-five billion, six hundred twenty-four million, one hundred fifty-eight thousand, thirteen".