287977539949801 has 27 divisors (see below), whose sum is σ = 322964516663919. Its totient is φ = 256653325760832.

The previous prime is 287977539949741. The next prime is 287977539949927. The reversal of 287977539949801 is 108949935779782.

The square root of 287977539949801 is 16969901.

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

It can be written as a sum of positive squares in 13 ways, for example, as 276680008957401 + 11297530992400 = 16633701^2 + 3361180^2 .

It is not a de Polignac number, because 287977539949801 - 2¹⁷ = 287977539818729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (287977539949301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6397630171 + ... + 6397675183.

Almost surely, 2^{287977539949801} is an apocalyptic number.

287977539949801 is the 16969901-st square number.

287977539949801 is the 8484951-st centered octagonal number.

It is an amenable number.

287977539949801 is a deficient number, since it is larger than the sum of its proper divisors (34986976714118).

287977539949801 is an frugal number, since it uses more digits than its factorization.

287977539949801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90110 (or 45055 counting only the distinct ones).

The product of its (nonzero) digits is 17283248640, while the sum is 88.

The spelling of 287977539949801 in words is "two hundred eighty-seven trillion, nine hundred seventy-seven billion, five hundred thirty-nine million, nine hundred forty-nine thousand, eight hundred one".