51507105649 has 8 divisors (see below), whose sum is σ = 51672946280. Its totient is φ = 51341472000.

The previous prime is 51507105613. The next prime is 51507105653. The reversal of 51507105649 is 94650170515.

It can be written as a sum of positive squares in 4 ways, for example, as 10877447025 + 40629658624 = 104295^2 + 201568^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 51507105649 - 2¹⁹ = 51506581361 is a prime.

It is a super-2 number, since 2×51507105649² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51507105449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 454687 + ... + 556555.

It is an arithmetic number, because the mean of its divisors is an integer number (6459118285).

Almost surely, 2^51507105649 is an apocalyptic number.

It is an amenable number.

51507105649 is a deficient number, since it is larger than the sum of its proper divisors (165840631).

51507105649 is a wasteful number, since it uses less digits than its factorization.

51507105649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103491.

The product of its (nonzero) digits is 189000, while the sum is 43.

The spelling of 51507105649 in words is "fifty-one billion, five hundred seven million, one hundred five thousand, six hundred forty-nine".