55051161604609 has 81 divisors (see below), whose sum is σ = 59688871907931. Its totient is φ = 50771754063360.

The previous prime is 55051161604541. The next prime is 55051161604613. The reversal of 55051161604609 is 90640616115055.

The square root of 55051161604609 is 7419647.

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

It can be written as a sum of positive squares in 13 ways, for example, as 29787067809009 + 25264093795600 = 5457753^2 + 5026340^2 .

It is not a de Polignac number, because 55051161604609 - 2²⁷ = 55051027386881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (55051161604619) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 754125501397 + ... + 754125501469.

Almost surely, 2^{55051161604609} is an apocalyptic number.

55051161604609 is the 7419647-th square number.

55051161604609 is the 3709824-th centered octagonal number.

It is an amenable number.

55051161604609 is a deficient number, since it is larger than the sum of its proper divisors (4637710303322).

55051161604609 is an frugal number, since it uses more digits than its factorization.

55051161604609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 49.

The spelling of 55051161604609 in words is "fifty-five trillion, fifty-one billion, one hundred sixty-one million, six hundred four thousand, six hundred nine".