281959938001 has 27 divisors (see below), whose sum is σ = 339054536457. Its totient is φ = 233788239720.

The previous prime is 281959937971. The next prime is 281959938011. The reversal of 281959938001 is 100839959182.

The square root of 281959938001 is 530999.

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

It is not a de Polignac number, because 281959938001 - 2⁷ = 281959937873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (281959938011) 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, 115225560 + ... + 115228006.

Almost surely, 2^281959938001 is an apocalyptic number.

281959938001 is the 530999-th square number.

281959938001 is the 265500-th centered octagonal number.

It is an amenable number.

281959938001 is a deficient number, since it is larger than the sum of its proper divisors (57094598456).

281959938001 is an frugal number, since it uses more digits than its factorization.

281959938001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4970 (or 2485 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 55.

The spelling of 281959938001 in words is "two hundred eighty-one billion, nine hundred fifty-nine million, nine hundred thirty-eight thousand, one".