541414001 has 2 divisors, whose sum is σ = 541414002. Its totient is φ = 541414000.

The previous prime is 541413959. The next prime is 541414033. The reversal of 541414001 is 100414145.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 529690225 + 11723776 = 23015^2 + 3424^2 .

It is a cyclic number.

It is not a de Polignac number, because 541414001 - 2²⁶ = 474305137 is a prime.

It is not a weakly prime, because it can be changed into another prime (541414051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270707000 + 270707001.

It is an arithmetic number, because the mean of its divisors is an integer number (270707001).

Almost surely, 2^541414001 is an apocalyptic number.

It is an amenable number.

541414001 is a deficient number, since it is larger than the sum of its proper divisors (1).

541414001 is an equidigital number, since it uses as much as digits as its factorization.

541414001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 541414001 is about 23268.3046438712. The cubic root of 541414001 is about 815.0354412681.

Adding to 541414001 its reverse (100414145), we get a palindrome (641828146).

The spelling of 541414001 in words is "five hundred forty-one million, four hundred fourteen thousand, one".