257366479969 has 3 divisors (see below), whose sum is σ = 257366987283. Its totient is φ = 257365972656.

The previous prime is 257366479901. The next prime is 257366479973. The reversal of 257366479969 is 969974663752.

The square root of 257366479969 is 507313.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 190641390625 + 66725089344 = 436625^2 + 258312^2 .

It is not a de Polignac number, because 257366479969 - 2¹⁵ = 257366447201 is a prime.

It is a super-2 number, since 2×257366479969² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257366479369) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 253657 + ... + 760969.

It is an arithmetic number, because the mean of its divisors is an integer number (85788995761).

Almost surely, 2^257366479969 is an apocalyptic number.

257366479969 is the 507313-rd square number.

257366479969 is the 253657-th centered octagonal number.

It is an amenable number.

257366479969 is a deficient number, since it is larger than the sum of its proper divisors (507314).

257366479969 is an frugal number, since it uses more digits than its factorization.

257366479969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014626 (or 507313 counting only the distinct ones).

The product of its digits is 925888320, while the sum is 73.

The spelling of 257366479969 in words is "two hundred fifty-seven billion, three hundred sixty-six million, four hundred seventy-nine thousand, nine hundred sixty-nine".