51410000 has 100 divisors (see below), whose sum is σ = 128124612. Its totient is φ = 19968000.

The previous prime is 51409999. The next prime is 51410003. The reversal of 51410000 is 1415.

It can be written as a sum of positive squares in 10 ways, for example, as 35473936 + 15936064 = 5956^2 + 3992^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51410003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 529952 + ... + 530048.

Almost surely, 2^51410000 is an apocalyptic number.

51410000 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 51410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64062306).

51410000 is an abundant number, since it is smaller than the sum of its proper divisors (76714612).

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

51410000 is an equidigital number, since it uses as much as digits as its factorization.

51410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 51410000 is about 7170.0767080973. The cubic root of 51410000 is about 371.8340879597.

Adding to 51410000 its reverse (1415), we get a palindrome (51411415).

The spelling of 51410000 in words is "fifty-one million, four hundred ten thousand".