257655242999449 has 9 divisors (see below), whose sum is σ = 258491388612639. Its totient is φ = 256821793539960.

The previous prime is 257655242999431. The next prime is 257655242999467. The reversal of 257655242999449 is 944999242556752.

The square root of 257655242999449 is 16051643.

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

257655242999449 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (257655242999431) and next prime (257655242999467).

It can be written as a sum of positive squares in only one way, i.e., 91783201926025 + 165872041073424 = 9580355^2 + 12879132^2 .

It is not a de Polignac number, because 257655242999449 - 2¹³ = 257655242991257 is a prime.

It is a super-2 number, since 2×257655242999449² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257655242499449) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4992035167 + ... + 4992086779.

Almost surely, 2^{257655242999449} is an apocalyptic number.

257655242999449 is the 16051643-rd square number.

257655242999449 is the 8025822-nd centered octagonal number.

It is an amenable number.

257655242999449 is a deficient number, since it is larger than the sum of its proper divisors (836145613190).

257655242999449 is an frugal number, since it uses more digits than its factorization.

257655242999449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103848 (or 51924 counting only the distinct ones).

The product of its digits is 17635968000, while the sum is 82.

It can be divided in two parts, 2576552 and 42999449, that added together give a square (45576001 = 6751²).

The spelling of 257655242999449 in words is "two hundred fifty-seven trillion, six hundred fifty-five billion, two hundred forty-two million, nine hundred ninety-nine thousand, four hundred forty-nine".