51077000 has 64 divisors (see below), whose sum is σ = 128746800. Its totient is φ = 18854400.

The previous prime is 51076957. The next prime is 51077003. The reversal of 51077000 is 77015.

51077000 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 8 ways, for example, as 2328676 + 48748324 = 1526^2 + 6982^2 .

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

It is not an unprimeable number, because it can be changed into a prime (51077003) 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 15 ways as a sum of consecutive naturals, for example, 11036 + ... + 14964.

Almost surely, 2^51077000 is an apocalyptic number.

51077000 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 51077000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64373400).

51077000 is an abundant number, since it is smaller than the sum of its proper divisors (77669800).

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

51077000 is a wasteful number, since it uses less digits than its factorization.

51077000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3963 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 245, while the sum is 20.

The square root of 51077000 is about 7146.8174735332. The cubic root of 51077000 is about 371.0295164723.

The spelling of 51077000 in words is "fifty-one million, seventy-seven thousand".