258273765 has 36 divisors (see below), whose sum is σ = 464928204. Its totient is φ = 137728512.

The previous prime is 258273761. The next prime is 258273773. The reversal of 258273765 is 567372852.

258273765 is a `hidden beast` number, since 2 + 582 + 7 + 3 + 7 + 65 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40947201 + 217326564 = 6399^2 + 14742^2 .

It is not a de Polignac number, because 258273765 - 2² = 258273761 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 258273765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258273761) 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 35 ways as a sum of consecutive naturals, for example, 28869 + ... + 36741.

Almost surely, 2^258273765 is an apocalyptic number.

258273765 is the 13122-nd pentagonal number.

It is an amenable number.

258273765 is a deficient number, since it is larger than the sum of its proper divisors (206654439).

258273765 is an frugal number, since it uses more digits than its factorization.

258273765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7902 (or 7881 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 258273765 is about 16070.8980769589. The cubic root of 258273765 is about 636.8347662751.

It can be divided in two parts, 25827 and 3765, that added together give a palindrome (29592).

The spelling of 258273765 in words is "two hundred fifty-eight million, two hundred seventy-three thousand, seven hundred sixty-five".