51365000 has 40 divisors (see below), whose sum is σ = 120359910. Its totient is φ = 20544000.

The previous prime is 51364981. The next prime is 51365011. The reversal of 51365000 is 56315.

It can be written as a sum of positive squares in 5 ways, for example, as 70756 + 51294244 = 266^2 + 7162^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 9 ways as a sum of consecutive naturals, for example, 137 + ... + 10136.

Almost surely, 2^51365000 is an apocalyptic number.

51365000 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 51365000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60179955).

51365000 is an abundant number, since it is smaller than the sum of its proper divisors (68994910).

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

51365000 is a wasteful number, since it uses less digits than its factorization.

51365000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10299 (or 10280 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 51365000 is about 7166.9379793605. The cubic root of 51365000 is about 371.7255655035.

The spelling of 51365000 in words is "fifty-one million, three hundred sixty-five thousand".