55339003682361 has 81 divisors (see below), whose sum is σ = 95017680181359. Its totient is φ = 30945366845568.

The previous prime is 55339003682317. The next prime is 55339003682407. The reversal of 55339003682361 is 16328630093355.

The square root of 55339003682361 is 7439019.

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

55339003682361 is a `hidden beast` number, since 553 + 3 + 9 + 0 + 0 + 3 + 6 + 8 + 23 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23821378911225 + 31517624771136 = 4880715^2 + 5614056^2 .

It is not a de Polignac number, because 55339003682361 - 2¹¹ = 55339003680313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 55339003682298 and 55339003682307.

It is not an unprimeable number, because it can be changed into a prime (55339003682761) 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, 7342307985 + ... + 7342315521.

Almost surely, 2^{55339003682361} is an apocalyptic number.

55339003682361 is the 7439019-th square number.

55339003682361 is the 3719510-th centered octagonal number.

It is an amenable number.

55339003682361 is a deficient number, since it is larger than the sum of its proper divisors (39678676498998).

55339003682361 is an frugal number, since it uses more digits than its factorization.

55339003682361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15188 (or 7594 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 55339003682361 in words is "fifty-five trillion, three hundred thirty-nine billion, three million, six hundred eighty-two thousand, three hundred sixty-one".