51005610601 has 8 divisors (see below), whose sum is σ = 55644120000. Its totient is φ = 46367373840.

The previous prime is 51005610581. The next prime is 51005610619. The reversal of 51005610601 is 10601650015.

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 51005610601 - 2⁷ = 51005610473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51005614601) 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, 682900 + ... + 753898.

It is an arithmetic number, because the mean of its divisors is an integer number (6955515000).

Almost surely, 2^51005610601 is an apocalyptic number.

It is an amenable number.

51005610601 is a deficient number, since it is larger than the sum of its proper divisors (4638509399).

51005610601 is a wasteful number, since it uses less digits than its factorization.

51005610601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136319.

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 51005610601 in words is "fifty-one billion, five million, six hundred ten thousand, six hundred one".