51484100 has 18 divisors (see below), whose sum is σ = 111720714. Its totient is φ = 20593600.

The previous prime is 51484099. The next prime is 51484117. The reversal of 51484100 is 148415.

It can be written as a sum of positive squares in 3 ways, for example, as 5053504 + 46430596 = 2248^2 + 6814^2 .

It is a super-2 number, since 2×51484100² = 5301225105620000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 257321 + ... + 257520.

Almost surely, 2^51484100 is an apocalyptic number.

51484100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51484100 is an abundant number, since it is smaller than the sum of its proper divisors (60236614).

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

51484100 is a wasteful number, since it uses less digits than its factorization.

51484100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514855 (or 514848 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 51484100 is about 7175.2421561924. The cubic root of 51484100 is about 372.0126503579.

The spelling of 51484100 in words is "fifty-one million, four hundred eighty-four thousand, one hundred".