281301883641 has 45 divisors (see below), whose sum is σ = 434437562559. Its totient is φ = 181389618000.

The previous prime is 281301883633. The next prime is 281301883649. The reversal of 281301883641 is 146388103182.

The square root of 281301883641 is 530379.

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

281301883641 is a `hidden beast` number, since 2 + 81 + 30 + 188 + 364 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (281301883633) and next prime (281301883649).

It can be written as a sum of positive squares in only one way, i.e., 23461355241 + 257840528400 = 153171^2 + 507780^2 .

It is not a de Polignac number, because 281301883641 - 2³ = 281301883633 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (281301883649) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 147974791 + ... + 147976691.

Almost surely, 2^281301883641 is an apocalyptic number.

281301883641 is the 530379-th square number.

281301883641 is the 265190-th centered octagonal number.

It is an amenable number.

281301883641 is a deficient number, since it is larger than the sum of its proper divisors (153135678918).

281301883641 is an frugal number, since it uses more digits than its factorization.

281301883641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3876 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 281301883641 in words is "two hundred eighty-one billion, three hundred one million, eight hundred eighty-three thousand, six hundred forty-one".