61047049729 has 2 divisors, whose sum is σ = 61047049730. Its totient is φ = 61047049728.

The previous prime is 61047049699. The next prime is 61047049741. The reversal of 61047049729 is 92794074016.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47633935504 + 13413114225 = 218252^2 + 115815^2 .

It is a cyclic number.

It is not a de Polignac number, because 61047049729 - 2¹⁷ = 61046918657 is a prime.

It is a super-2 number, since 2×61047049729² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (61047049829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30523524864 + 30523524865.

It is an arithmetic number, because the mean of its divisors is an integer number (30523524865).

Almost surely, 2^61047049729 is an apocalyptic number.

It is an amenable number.

61047049729 is a deficient number, since it is larger than the sum of its proper divisors (1).

61047049729 is an equidigital number, since it uses as much as digits as its factorization.

61047049729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 762048, while the sum is 49.

The spelling of 61047049729 in words is "sixty-one billion, forty-seven million, forty-nine thousand, seven hundred twenty-nine".