287243474401 has 9 divisors (see below), whose sum is σ = 311046336531. Its totient is φ = 265141391112.

The previous prime is 287243474387. The next prime is 287243474509. The reversal of 287243474401 is 104474342782.

The square root of 287243474401 is 535951.

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

It can be written as a sum of positive squares in only one way, i.e., 42491638225 + 244751836176 = 206135^2 + 494724^2 .

It is not a de Polignac number, because 287243474401 - 2¹⁵ = 287243441633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (287243472401) 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 8 ways as a sum of consecutive naturals, for example, 6946750 + ... + 6987976.

It is an arithmetic number, because the mean of its divisors is an integer number (34560704059).

Almost surely, 2^287243474401 is an apocalyptic number.

287243474401 is the 535951-st square number.

287243474401 is the 267976-th centered octagonal number.

It is an amenable number.

287243474401 is a deficient number, since it is larger than the sum of its proper divisors (23802862130).

287243474401 is an frugal number, since it uses more digits than its factorization.

287243474401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82480 (or 41240 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 46.

The spelling of 287243474401 in words is "two hundred eighty-seven billion, two hundred forty-three million, four hundred seventy-four thousand, four hundred one".