253006085 has 16 divisors (see below), whose sum is σ = 307897200. Its totient is φ = 199558656.

The previous prime is 253006081. The next prime is 253006129. The reversal of 253006085 is 580600352.

It can be written as a sum of positive squares in 8 ways, for example, as 30459361 + 222546724 = 5519^2 + 14918^2 .

It is a cyclic number.

It is not a de Polignac number, because 253006085 - 2² = 253006081 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253006081) 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 15 ways as a sum of consecutive naturals, for example, 225947 + ... + 227063.

It is an arithmetic number, because the mean of its divisors is an integer number (19243575).

Almost surely, 2^253006085 is an apocalyptic number.

It is an amenable number.

253006085 is a deficient number, since it is larger than the sum of its proper divisors (54891115).

253006085 is a wasteful number, since it uses less digits than its factorization.

253006085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720.

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 253006085 is about 15906.1649997729. The cubic root of 253006085 is about 632.4754248967.

The spelling of 253006085 in words is "two hundred fifty-three million, six thousand, eighty-five".