211413551260401 has 40 divisors (see below), whose sum is σ = 361148294485440. Its totient is φ = 120735272885472.

The previous prime is 211413551260367. The next prime is 211413551260423. The reversal of 211413551260401 is 104062155314112.

211413551260401 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 1 + 3 + 551 + 2 + 60 + 40 + 1 = 666.

211413551260401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211413551260401 - 2²³ = 211413542871793 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (211413551260451) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 110891466 + ... + 112781843.

It is an arithmetic number, because the mean of its divisors is an integer number (9028707362136).

Almost surely, 2^{211413551260401} is an apocalyptic number.

211413551260401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211413551260401 is a deficient number, since it is larger than the sum of its proper divisors (149734743225039).

211413551260401 is a wasteful number, since it uses less digits than its factorization.

211413551260401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223674995 (or 223674986 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 211413551260401 in words is "two hundred eleven trillion, four hundred thirteen billion, five hundred fifty-one million, two hundred sixty thousand, four hundred one".