258656085 has 80 divisors (see below), whose sum is σ = 488969712. Its totient is φ = 130636800.

The previous prime is 258656081. The next prime is 258656089. The reversal of 258656085 is 580656852.

258656085 is a `hidden beast` number, since 2 + 5 + 8 + 6 + 560 + 85 = 666.

It is an interprime number because it is at equal distance from previous prime (258656081) and next prime (258656089).

It can be written as a sum of positive squares in 8 ways, for example, as 55935441 + 202720644 = 7479^2 + 14238^2 .

It is not a de Polignac number, because 258656085 - 2² = 258656081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 258656085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258656081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 614175 + ... + 614595.

Almost surely, 2^258656085 is an apocalyptic number.

It is an amenable number.

258656085 is a deficient number, since it is larger than the sum of its proper divisors (230313627).

258656085 is a wasteful number, since it uses less digits than its factorization.

258656085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The square root of 258656085 is about 16082.7884709089. The cubic root of 258656085 is about 637.1488446702.

The spelling of 258656085 in words is "two hundred fifty-eight million, six hundred fifty-six thousand, eighty-five".