291328983001 has 27 divisors (see below), whose sum is σ = 343394777631. Its totient is φ = 246436439424.

The previous prime is 291328982993. The next prime is 291328983013. The reversal of 291328983001 is 100389823192.

The square root of 291328983001 is 539749.

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

It can be written as a sum of positive squares in only one way, i.e., 5617352601 + 285711630400 = 74949^2 + 534520^2 .

It is not a de Polignac number, because 291328983001 - 2³ = 291328982993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (291328983031) 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, 313593705 + ... + 313594633.

Almost surely, 2^291328983001 is an apocalyptic number.

291328983001 is the 539749-th square number.

291328983001 is the 269875-th centered octagonal number.

It is an amenable number.

291328983001 is a deficient number, since it is larger than the sum of its proper divisors (52065794630).

291328983001 is an frugal number, since it uses more digits than its factorization.

291328983001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The spelling of 291328983001 in words is "two hundred ninety-one billion, three hundred twenty-eight million, nine hundred eighty-three thousand, one".