85351563 has 48 divisors (see below), whose sum is σ = 143410176. Its totient is φ = 50271840.

The previous prime is 85351559. The next prime is 85351589. The reversal of 85351563 is 36515358.

85351563 is a `hidden beast` number, since 85 + 3 + 515 + 63 = 666.

It is not a de Polignac number, because 85351563 - 2² = 85351559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85351163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98470 + ... + 99332.

It is an arithmetic number, because the mean of its divisors is an integer number (2987712).

Almost surely, 2^85351563 is an apocalyptic number.

85351563 is a deficient number, since it is larger than the sum of its proper divisors (58058613).

85351563 is a wasteful number, since it uses less digits than its factorization.

85351563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 914 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 85351563 is about 9238.5909639945. The cubic root of 85351563 is about 440.2883148252.

The spelling of 85351563 in words is "eighty-five million, three hundred fifty-one thousand, five hundred sixty-three".