51005611000 has 128 divisors (see below), whose sum is σ = 123809400000. Its totient is φ = 19653580800.

The previous prime is 51005610973. The next prime is 51005611001. The reversal of 51005611000 is 11650015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51005611001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3130876 + ... + 3147124.

Almost surely, 2^51005611000 is an apocalyptic number.

51005611000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51005611000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61904700000).

51005611000 is an abundant number, since it is smaller than the sum of its proper divisors (72803789000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51005611000 is a wasteful number, since it uses less digits than its factorization.

51005611000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16386 (or 16372 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

The spelling of 51005611000 in words is "fifty-one billion, five million, six hundred eleven thousand".