53948888361 has 27 divisors (see below), whose sum is σ = 78631995351. Its totient is φ = 35643071664.

The previous prime is 53948888353. The next prime is 53948888369. The reversal of 53948888361 is 16388884935.

The square root of 53948888361 is 232269.

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

It is an interprime number because it is at equal distance from previous prime (53948888353) and next prime (53948888369).

It can be written as a sum of positive squares in only one way, i.e., 4734128025 + 49214760336 = 68805^2 + 221844^2 .

It is not a de Polignac number, because 53948888361 - 2³ = 53948888353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (53948888369) 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 26 ways as a sum of consecutive naturals, for example, 96855895 + ... + 96856451.

Almost surely, 2^53948888361 is an apocalyptic number.

53948888361 is the 232269-th square number.

53948888361 is the 116135-th centered octagonal number.

It is an amenable number.

53948888361 is a deficient number, since it is larger than the sum of its proper divisors (24683106990).

53948888361 is an frugal number, since it uses more digits than its factorization.

53948888361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 699 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The spelling of 53948888361 in words is "fifty-three billion, nine hundred forty-eight million, eight hundred eighty-eight thousand, three hundred sixty-one".