61306031 has 2 divisors, whose sum is σ = 61306032. Its totient is φ = 61306030.

The previous prime is 61306019. The next prime is 61306033. The reversal of 61306031 is 13060316.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 61306031 - 2¹⁴ = 61289647 is a prime.

It is a super-2 number, since 2×61306031² = 7516858873945922, which contains 22 as substring.

Together with 61306033, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 61305994 and 61306012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61306033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30653015 + 30653016.

It is an arithmetic number, because the mean of its divisors is an integer number (30653016).

Almost surely, 2^61306031 is an apocalyptic number.

61306031 is a deficient number, since it is larger than the sum of its proper divisors (1).

61306031 is an equidigital number, since it uses as much as digits as its factorization.

61306031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 61306031 is about 7829.8167922372. The cubic root of 61306031 is about 394.3069211308.

Adding to 61306031 its reverse (13060316), we get a palindrome (74366347).

The spelling of 61306031 in words is "sixty-one million, three hundred six thousand, thirty-one".