54602136241 has 9 divisors (see below), whose sum is σ = 54948034539. Its totient is φ = 54258406200.

The previous prime is 54602136143. The next prime is 54602136263. The reversal of 54602136241 is 14263120645.

The square root of 54602136241 is 233671.

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

It can be written as a sum of positive squares in only one way, i.e., 601671841 + 54000464400 = 24529^2 + 232380^2 .

It is not a de Polignac number, because 54602136241 - 2¹⁵ = 54602103473 is a prime.

It is a super-2 number, since 2×54602136241² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 54602136197 and 54602136206.

It is not an unprimeable number, because it can be changed into a prime (54602136271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 42293806 + ... + 42295096.

It is an arithmetic number, because the mean of its divisors is an integer number (6105337171).

Almost surely, 2^54602136241 is an apocalyptic number.

54602136241 is the 233671-st square number.

54602136241 is the 116836-th centered octagonal number.

It is an amenable number.

54602136241 is a deficient number, since it is larger than the sum of its proper divisors (345898298).

54602136241 is an frugal number, since it uses more digits than its factorization.

54602136241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

Adding to 54602136241 its reverse (14263120645), we get a palindrome (68865256886).

The spelling of 54602136241 in words is "fifty-four billion, six hundred two million, one hundred thirty-six thousand, two hundred forty-one".