5340633182361 has 81 divisors (see below), whose sum is σ = 8100114117277. Its totient is φ = 3390671323200.

The previous prime is 5340633182359. The next prime is 5340633182363. The reversal of 5340633182361 is 1632813360435.

It is a happy number.

The square root of 5340633182361 is 2310981.

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

5340633182361 is a `hidden beast` number, since 5 + 3 + 4 + 0 + 633 + 1 + 8 + 2 + 3 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (5340633182359) and next prime (5340633182363).

It can be written as a sum of positive squares in 4 ways, for example, as 1754912222361 + 3585720960000 = 1324731^2 + 1893600^2 .

It is not a de Polignac number, because 5340633182361 - 2¹ = 5340633182359 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5340633182363) 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, 20306589916 + ... + 20306590178.

Almost surely, 2^{5340633182361} is an apocalyptic number.

5340633182361 is the 2310981-st square number.

5340633182361 is the 1155491-st centered octagonal number.

It is an amenable number.

5340633182361 is a deficient number, since it is larger than the sum of its proper divisors (2759480934916).

5340633182361 is an equidigital number, since it uses as much as digits as its factorization.

5340633182361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 5340633182361 in words is "five trillion, three hundred forty billion, six hundred thirty-three million, one hundred eighty-two thousand, three hundred sixty-one".