851145593 has 2 divisors, whose sum is σ = 851145594. Its totient is φ = 851145592.

The previous prime is 851145587. The next prime is 851145599. The reversal of 851145593 is 395541158.

It is a balanced prime because it is at equal distance from previous prime (851145587) and next prime (851145599).

It can be written as a sum of positive squares in only one way, i.e., 482812729 + 368332864 = 21973^2 + 19192^2 .

It is a cyclic number.

It is not a de Polignac number, because 851145593 - 2¹⁶ = 851080057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 851145593.

It is not a weakly prime, because it can be changed into another prime (851145599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 425572796 + 425572797.

It is an arithmetic number, because the mean of its divisors is an integer number (425572797).

Almost surely, 2^851145593 is an apocalyptic number.

It is an amenable number.

851145593 is a deficient number, since it is larger than the sum of its proper divisors (1).

851145593 is an equidigital number, since it uses as much as digits as its factorization.

851145593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 108000, while the sum is 41.

The square root of 851145593 is about 29174.3996167873. The cubic root of 851145593 is about 947.6936084428.

The spelling of 851145593 in words is "eight hundred fifty-one million, one hundred forty-five thousand, five hundred ninety-three".