1611876542409 has 27 divisors (see below), whose sum is σ = 2708435996487. Its totient is φ = 921057074784.

The previous prime is 1611876542327. The next prime is 1611876542467. The reversal of 1611876542409 is 9042456781161.

The square root of 1611876542409 is 1269597.

It is a perfect power (a square), and thus also a powerful number.

1611876542409 is a `hidden beast` number, since 1 + 6 + 1 + 187 + 6 + 54 + 2 + 409 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1144119033225 + 467757509184 = 1069635^2 + 683928^2 .

It is not a de Polignac number, because 1611876542409 - 2¹⁷ = 1611876411337 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1611876542609) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26631309 + ... + 26691765.

Almost surely, 2^{1611876542409} is an apocalyptic number.

1611876542409 is the 1269597-th square number.

1611876542409 is the 634799-th centered octagonal number.

It is an amenable number.

1611876542409 is a deficient number, since it is larger than the sum of its proper divisors (1096559454078).

1611876542409 is an frugal number, since it uses more digits than its factorization.

1611876542409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120934 (or 60467 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1611876542409 in words is "one trillion, six hundred eleven billion, eight hundred seventy-six million, five hundred forty-two thousand, four hundred nine".