54121541409 has 24 divisors (see below), whose sum is σ = 84196984872. Its totient is φ = 33302430720.

The previous prime is 54121541407. The next prime is 54121541429. The reversal of 54121541409 is 90414512145.

54121541409 is a `hidden beast` number, since 54 + 1 + 21 + 541 + 40 + 9 = 666.

54121541409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2819291409 + 51302250000 = 53097^2 + 226500^2 .

It is not a de Polignac number, because 54121541409 - 2¹ = 54121541407 is a prime.

It is a super-2 number, since 2×54121541409² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54121541407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2147409 + ... + 2172465.

It is an arithmetic number, because the mean of its divisors is an integer number (3508207703).

Almost surely, 2^54121541409 is an apocalyptic number.

It is an amenable number.

54121541409 is a deficient number, since it is larger than the sum of its proper divisors (30075443463).

54121541409 is a wasteful number, since it uses less digits than its factorization.

54121541409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43537 (or 43534 counting only the distinct ones).

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

The spelling of 54121541409 in words is "fifty-four billion, one hundred twenty-one million, five hundred forty-one thousand, four hundred nine".