51005808601 has 8 divisors (see below), whose sum is σ = 55645105824. Its totient is φ = 46366912320.

The previous prime is 51005808571. The next prime is 51005808631. The reversal of 51005808601 is 10680850015.

It is an interprime number because it is at equal distance from previous prime (51005808571) and next prime (51005808631).

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 51005808601 - 2¹⁷ = 51005677529 is a prime.

It is a super-2 number, since 2×51005808601² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51005808631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206625 + ... + 380401.

It is an arithmetic number, because the mean of its divisors is an integer number (6955638228).

Almost surely, 2^51005808601 is an apocalyptic number.

It is an amenable number.

51005808601 is a deficient number, since it is larger than the sum of its proper divisors (4639297223).

51005808601 is a wasteful number, since it uses less digits than its factorization.

51005808601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200471.

The product of its (nonzero) digits is 9600, while the sum is 34.

The spelling of 51005808601 in words is "fifty-one billion, five million, eight hundred eight thousand, six hundred one".