413021009977 has 2 divisors, whose sum is σ = 413021009978. Its totient is φ = 413021009976.

The previous prime is 413021009971. The next prime is 413021010007. The reversal of 413021009977 is 779900120314.

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., 302385610816 + 110635399161 = 549896^2 + 332619^2 .

It is a cyclic number.

It is not a de Polignac number, because 413021009977 - 2¹⁵ = 413020977209 is a prime.

It is a super-2 number, since 2×413021009977² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (413021009971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206510504988 + 206510504989.

It is an arithmetic number, because the mean of its divisors is an integer number (206510504989).

Almost surely, 2^413021009977 is an apocalyptic number.

It is an amenable number.

413021009977 is a deficient number, since it is larger than the sum of its proper divisors (1).

413021009977 is an equidigital number, since it uses as much as digits as its factorization.

413021009977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 95256, while the sum is 43.

The spelling of 413021009977 in words is "four hundred thirteen billion, twenty-one million, nine thousand, nine hundred seventy-seven".