61754008121 has 12 divisors (see below), whose sum is σ = 70646458092. Its totient is φ = 53650537728.

The previous prime is 61754008117. The next prime is 61754008157. The reversal of 61754008121 is 12180045716.

It can be written as a sum of positive squares in 6 ways, for example, as 10188681721 + 51565326400 = 100939^2 + 227080^2 .

It is not a de Polignac number, because 61754008121 - 2² = 61754008117 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (61754008321) 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 in 11 ways as a sum of consecutive naturals, for example, 8214770 + ... + 8222283.

It is an arithmetic number, because the mean of its divisors is an integer number (5887204841).

Almost surely, 2^61754008121 is an apocalyptic number.

It is an amenable number.

61754008121 is a deficient number, since it is larger than the sum of its proper divisors (8892449971).

61754008121 is a wasteful number, since it uses less digits than its factorization.

61754008121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16437100 (or 16437083 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The spelling of 61754008121 in words is "sixty-one billion, seven hundred fifty-four million, eight thousand, one hundred twenty-one".