85263051 has 32 divisors (see below), whose sum is σ = 125409280. Its totient is φ = 51321600.

The previous prime is 85263049. The next prime is 85263107. The reversal of 85263051 is 15036258.

It is not a de Polignac number, because 85263051 - 2¹ = 85263049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85263151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128661 + ... + 129321.

It is an arithmetic number, because the mean of its divisors is an integer number (3919040).

Almost surely, 2^85263051 is an apocalyptic number.

85263051 is a deficient number, since it is larger than the sum of its proper divisors (40146229).

85263051 is a wasteful number, since it uses less digits than its factorization.

85263051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787.

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 85263051 is about 9233.7993805367. The cubic root of 85263051 is about 440.1360650128.

It can be divided in two parts, 852 and 63051, that added together give a triangular number (63903 = T₃₅₇).

The spelling of 85263051 in words is "eighty-five million, two hundred sixty-three thousand, fifty-one".