258764498721 has 45 divisors (see below), whose sum is σ = 400543870441. Its totient is φ = 166475596896.

The previous prime is 258764498711. The next prime is 258764498731. The reversal of 258764498721 is 127894467852.

It is a happy number.

The square root of 258764498721 is 508689.

It is a perfect power (a square), and thus also a powerful number.

258764498721 is a `hidden beast` number, since 2 + 5 + 8 + 76 + 4 + 498 + 72 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (258764498711) and next prime (258764498731).

It can be written as a sum of positive squares in 4 ways, for example, as 30891929121 + 227872569600 = 175761^2 + 477360^2 .

It is not a de Polignac number, because 258764498721 - 2³¹ = 256617015073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (258764498711) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 132766855 + ... + 132768803.

Almost surely, 2^258764498721 is an apocalyptic number.

258764498721 is the 508689-th square number.

258764498721 is the 254345-th centered octagonal number.

It is an amenable number.

258764498721 is a deficient number, since it is larger than the sum of its proper divisors (141779371720).

258764498721 is an frugal number, since it uses more digits than its factorization.

258764498721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3968 (or 1981 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 63.

The spelling of 258764498721 in words is "two hundred fifty-eight billion, seven hundred sixty-four million, four hundred ninety-eight thousand, seven hundred twenty-one".