413021010377 has 2 divisors, whose sum is σ = 413021010378. Its totient is φ = 413021010376.

The previous prime is 413021010371. The next prime is 413021010427. The reversal of 413021010377 is 773010120314.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 363121939216 + 49899071161 = 602596^2 + 223381^2 .

It is a cyclic number.

It is not a de Polignac number, because 413021010377 - 2¹⁰ = 413021009353 is a prime.

It is a super-3 number, since 3×413021010377³ (a number of 36 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (413021010371) 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, 206510505188 + 206510505189.

It is an arithmetic number, because the mean of its divisors is an integer number (206510505189).

Almost surely, 2^413021010377 is an apocalyptic number.

It is an amenable number.

413021010377 is a deficient number, since it is larger than the sum of its proper divisors (1).

413021010377 is an equidigital number, since it uses as much as digits as its factorization.

413021010377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528, while the sum is 29.

The spelling of 413021010377 in words is "four hundred thirteen billion, twenty-one million, ten thousand, three hundred seventy-seven".