61137029 has 2 divisors, whose sum is σ = 61137030. Its totient is φ = 61137028.

The previous prime is 61137007. The next prime is 61137047. The reversal of 61137029 is 92073116.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60684100 + 452929 = 7790^2 + 673^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-61137029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 61136992 and 61137010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61107029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30568514 + 30568515.

It is an arithmetic number, because the mean of its divisors is an integer number (30568515).

Almost surely, 2^61137029 is an apocalyptic number.

It is an amenable number.

61137029 is a deficient number, since it is larger than the sum of its proper divisors (1).

61137029 is an equidigital number, since it uses as much as digits as its factorization.

61137029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 61137029 is about 7819.0171377226. The cubic root of 61137029 is about 393.9442597673.

The spelling of 61137029 in words is "sixty-one million, one hundred thirty-seven thousand, twenty-nine".