53834958747361 has 9 divisors (see below), whose sum is σ = 59174051634579. Its totient is φ = 48940798216200.

The previous prime is 53834958747359. The next prime is 53834958747373. The reversal of 53834958747361 is 16374785943835.

The square root of 53834958747361 is 7337231.

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., 30666331722961 + 23168627024400 = 5537719^2 + 4813380^2 .

It is not a de Polignac number, because 53834958747361 - 2¹ = 53834958747359 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53834958744361) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 80376031 + ... + 81043051.

Almost surely, 2^{53834958747361} is an apocalyptic number.

53834958747361 is the 7337231-st square number.

53834958747361 is the 3668616-th centered octagonal number.

It is an amenable number.

53834958747361 is a deficient number, since it is larger than the sum of its proper divisors (5339092887218).

53834958747361 is an frugal number, since it uses more digits than its factorization.

53834958747361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334064 (or 667032 counting only the distinct ones).

The product of its digits is 1828915200, while the sum is 73.

The spelling of 53834958747361 in words is "fifty-three trillion, eight hundred thirty-four billion, nine hundred fifty-eight million, seven hundred forty-seven thousand, three hundred sixty-one".