258227255441401 has 27 divisors (see below), whose sum is σ = 269077523547469. Its totient is φ = 247804304203232.

The previous prime is 258227255441383. The next prime is 258227255441429. The reversal of 258227255441401 is 104144552722852.

The square root of 258227255441401 is 16069451.

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

It can be written as a sum of positive squares in 4 ways, for example, as 60330560925625 + 197896694515776 = 7767275^2 + 14067576^2 .

It is not a de Polignac number, because 258227255441401 - 2⁵ = 258227255441369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (258227235441401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 80620434066 + ... + 80620437268.

Almost surely, 2^{258227255441401} is an apocalyptic number.

258227255441401 is the 16069451-st square number.

258227255441401 is the 8034726-th centered octagonal number.

It is an amenable number.

258227255441401 is a deficient number, since it is larger than the sum of its proper divisors (10850268106068).

258227255441401 is an frugal number, since it uses more digits than its factorization.

258227255441401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6810 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 7168000, while the sum is 52.

The spelling of 258227255441401 in words is "two hundred fifty-eight trillion, two hundred twenty-seven billion, two hundred fifty-five million, four hundred forty-one thousand, four hundred one".