61506957937 has 2 divisors, whose sum is σ = 61506957938. Its totient is φ = 61506957936.

The previous prime is 61506957917. The next prime is 61506957971. The reversal of 61506957937 is 73975960516.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 44190766656 + 17316191281 = 210216^2 + 131591^2 .

It is a cyclic number.

It is not a de Polignac number, because 61506957937 - 2¹⁵ = 61506925169 is a prime.

It is not a weakly prime, because it can be changed into another prime (61506957917) 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, 30753478968 + 30753478969.

It is an arithmetic number, because the mean of its divisors is an integer number (30753478969).

Almost surely, 2^61506957937 is an apocalyptic number.

It is an amenable number.

61506957937 is a deficient number, since it is larger than the sum of its proper divisors (1).

61506957937 is an equidigital number, since it uses as much as digits as its factorization.

61506957937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10716300, while the sum is 58.

The spelling of 61506957937 in words is "sixty-one billion, five hundred six million, nine hundred fifty-seven thousand, nine hundred thirty-seven".