413004001801 has 2 divisors, whose sum is σ = 413004001802. Its totient is φ = 413004001800.

The previous prime is 413004001783. The next prime is 413004001831. The reversal of 413004001801 is 108100400314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 375675829776 + 37328172025 = 612924^2 + 193205^2 .

It is a cyclic number.

It is not a de Polignac number, because 413004001801 - 2³⁵ = 378644263433 is a prime.

It is a super-2 number, since 2×413004001801² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (413004001831) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206502000900 + 206502000901.

It is an arithmetic number, because the mean of its divisors is an integer number (206502000901).

Almost surely, 2^413004001801 is an apocalyptic number.

It is an amenable number.

413004001801 is a deficient number, since it is larger than the sum of its proper divisors (1).

413004001801 is an equidigital number, since it uses as much as digits as its factorization.

413004001801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 22.

The spelling of 413004001801 in words is "four hundred thirteen billion, four million, one thousand, eight hundred one".