281887410987009 has 27 divisors (see below), whose sum is σ = 407764444883913. Its totient is φ = 187651305338112.

The previous prime is 281887410986971. The next prime is 281887410987053. The reversal of 281887410987009 is 900789014788182.

The square root of 281887410987009 is 16789503.

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

281887410987009 is a `hidden beast` number, since 28 + 188 + 7 + 410 + 9 + 8 + 7 + 0 + 0 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17572000458609 + 264315410528400 = 4191897^2 + 16257780^2 .

It is not a de Polignac number, because 281887410987009 - 2⁴¹ = 279688387731457 is a prime.

It is a super-3 number, since 3×281887410987009³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (281887410917009) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 38128957617 + ... + 38128965009.

Almost surely, 2^{281887410987009} is an apocalyptic number.

281887410987009 is the 16789503-rd square number.

281887410987009 is the 8394752-nd centered octagonal number.

It is an amenable number.

281887410987009 is a deficient number, since it is larger than the sum of its proper divisors (125877033896904).

281887410987009 is an frugal number, since it uses more digits than its factorization.

281887410987009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16306 (or 8153 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 72.

The spelling of 281887410987009 in words is "two hundred eighty-one trillion, eight hundred eighty-seven billion, four hundred ten million, nine hundred eighty-seven thousand, nine".