401578213 has 2 divisors, whose sum is σ = 401578214. Its totient is φ = 401578212.

The previous prime is 401578159. The next prime is 401578217. The reversal of 401578213 is 312875104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 369293089 + 32285124 = 19217^2 + 5682^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-401578213 is a prime.

It is a super-2 number, since 2×401578213² = 322530122312546738, which contains 22 as substring.

It is equal to p_21415837 and since 401578213 and 21415837 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (401578217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200789106 + 200789107.

It is an arithmetic number, because the mean of its divisors is an integer number (200789107).

Almost surely, 2^401578213 is an apocalyptic number.

It is an amenable number.

401578213 is a deficient number, since it is larger than the sum of its proper divisors (1).

401578213 is an equidigital number, since it uses as much as digits as its factorization.

401578213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 401578213 is about 20039.4164835207. The cubic root of 401578213 is about 737.7740591337.

It can be divided in two parts, 4015 and 78213, that added together give a palindrome (82228).

The spelling of 401578213 in words is "four hundred one million, five hundred seventy-eight thousand, two hundred thirteen".