61540653323333 has 2 divisors, whose sum is σ = 61540653323334. Its totient is φ = 61540653323332.

The previous prime is 61540653323329. The next prime is 61540653323389. The reversal of 61540653323333 is 33332335604516.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56352676812964 + 5187976510369 = 7506842^2 + 2277713^2 .

It is a cyclic number.

It is not a de Polignac number, because 61540653323333 - 2² = 61540653323329 is a prime.

It is a super-2 number, since 2×61540653323333² (a number of 28 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61540653323833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30770326661666 + 30770326661667.

It is an arithmetic number, because the mean of its divisors is an integer number (30770326661667).

Almost surely, 2^{61540653323333} is an apocalyptic number.

It is an amenable number.

61540653323333 is a deficient number, since it is larger than the sum of its proper divisors (1).

61540653323333 is an equidigital number, since it uses as much as digits as its factorization.

61540653323333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5248800, while the sum is 47.

Adding to 61540653323333 its reverse (33332335604516), we get a palindrome (94872988927849).

The spelling of 61540653323333 in words is "sixty-one trillion, five hundred forty billion, six hundred fifty-three million, three hundred twenty-three thousand, three hundred thirty-three".