51005001450 has 192 divisors, whose sum is σ = 140452260480. Its totient is φ = 12171202560.

The previous prime is 51005001449. The next prime is 51005001473. The reversal of 51005001450 is 5410050015.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8395614 + ... + 8401686.

It is an arithmetic number, because the mean of its divisors is an integer number (731522190).

Almost surely, 2^51005001450 is an apocalyptic number.

51005001450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51005001450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70226130240).

51005001450 is an abundant number, since it is smaller than the sum of its proper divisors (89447259030).

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

51005001450 is a wasteful number, since it uses less digits than its factorization.

51005001450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6233 (or 6228 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

Adding to 51005001450 its reverse (5410050015), we get a palindrome (56415051465).

The spelling of 51005001450 in words is "fifty-one billion, five million, one thousand, four hundred fifty".