51346000 has 40 divisors (see below), whose sum is σ = 124159464. Its totient is φ = 20537600.

The previous prime is 51345953. The next prime is 51346003. The reversal of 51346000 is 64315.

51346000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 23104 + 51322896 = 152^2 + 7164^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51346003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10837 + ... + 14836.

Almost surely, 2^51346000 is an apocalyptic number.

51346000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51346000 is an abundant number, since it is smaller than the sum of its proper divisors (72813464).

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

51346000 is a wasteful number, since it uses less digits than its factorization.

51346000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25696 (or 25680 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 51346000 is about 7165.6123255448. The cubic root of 51346000 is about 371.6797258801.

The spelling of 51346000 in words is "fifty-one million, three hundred forty-six thousand".