51461337309 has 16 divisors (see below), whose sum is σ = 70835741184. Its totient is φ = 33197472000.

The previous prime is 51461337271. The next prime is 51461337353. The reversal of 51461337309 is 90373316415.

It is a happy number.

It is not a de Polignac number, because 51461337309 - 2¹⁶ = 51461271773 is a prime.

It is a super-2 number, since 2×51461337309² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51461337209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1149937 + ... + 1193849.

It is an arithmetic number, because the mean of its divisors is an integer number (4427233824).

Almost surely, 2^51461337309 is an apocalyptic number.

It is an amenable number.

51461337309 is a deficient number, since it is larger than the sum of its proper divisors (19374403875).

51461337309 is a wasteful number, since it uses less digits than its factorization.

51461337309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56548.

The product of its (nonzero) digits is 204120, while the sum is 42.

The spelling of 51461337309 in words is "fifty-one billion, four hundred sixty-one million, three hundred thirty-seven thousand, three hundred nine".