51001000 has 32 divisors (see below), whose sum is σ = 119344680. Its totient is φ = 20400000.

The previous prime is 51000949. The next prime is 51001001. The reversal of 51001000 is 10015.

It can be written as a sum of positive squares in 4 ways, for example, as 23059204 + 27941796 = 4802^2 + 5286^2 .

It is a super-2 number, since 2×51001000² = 5202204002000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51001001) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 24501 + ... + 26500.

Almost surely, 2^51001000 is an apocalyptic number.

51001000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51001000 is an abundant number, since it is smaller than the sum of its proper divisors (68343680).

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

51001000 is a wasteful number, since it uses less digits than its factorization.

51001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51022 (or 51008 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 7.

The square root of 51001000 is about 7141.4984422038. The cubic root of 51001000 is about 370.8454007211.

Adding to 51001000 its reverse (10015), we get a palindrome (51011015).

The spelling of 51001000 in words is "fifty-one million, one thousand".