331055001 has 12 divisors (see below), whose sum is σ = 478543780. Its totient is φ = 220540320.

The previous prime is 331054963. The next prime is 331055009. The reversal of 331055001 is 100550133.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 115670025 + 215384976 = 10755^2 + 14676^2 .

It is not a de Polignac number, because 331055001 - 2⁶ = 331054937 is a prime.

It is a super-2 number, since 2×331055001² = 219194827374220002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331055009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10 + ... + 25731.

Almost surely, 2^331055001 is an apocalyptic number.

It is an amenable number.

331055001 is a deficient number, since it is larger than the sum of its proper divisors (147488779).

331055001 is a wasteful number, since it uses less digits than its factorization.

331055001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27176 (or 27173 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 331055001 is about 18194.9169000576. The cubic root of 331055001 is about 691.7779541130. Note that the first 3 decimals are identical.

It can be divided in two parts, 3310 and 55001, that added together give a triangular number (58311 = T₃₄₁).

The spelling of 331055001 in words is "three hundred thirty-one million, fifty-five thousand, one".