287210246401 has 64 divisors (see below), whose sum is σ = 326637622080. Its totient is φ = 250822656000.

The previous prime is 287210246363. The next prime is 287210246417. The reversal of 287210246401 is 104642012782.

It is a Cunningham number, because it is equal to 535920²+1.

It can be written as a sum of positive squares in 32 ways, for example, as 177814022400 + 109396224001 = 421680^2 + 330751^2 .

It is a 4-Lehmer number, since φ(287210246401) divides (287210246401-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 287210246401 - 2¹³ = 287210238209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (287210246431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1022100381 + ... + 1022100661.

It is an arithmetic number, because the mean of its divisors is an integer number (5103712845).

It is a Poulet number, since it divides 2^287210246400-1.

Almost surely, 2^287210246401 is an apocalyptic number.

It is an amenable number.

287210246401 is a deficient number, since it is larger than the sum of its proper divisors (39427375679).

287210246401 is a wasteful number, since it uses less digits than its factorization.

287210246401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758.

The product of its (nonzero) digits is 43008, while the sum is 37.

The spelling of 287210246401 in words is "two hundred eighty-seven billion, two hundred ten million, two hundred forty-six thousand, four hundred one".