51533000 has 64 divisors (see below), whose sum is σ = 124815600. Its totient is φ = 19891200.

The previous prime is 51532979. The next prime is 51533003. The reversal of 51533000 is 33515.

It can be written as a sum of positive squares in 8 ways, for example, as 1943236 + 49589764 = 1394^2 + 7042^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 51533000.

It is not an unprimeable number, because it can be changed into a prime (51533003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28112 + ... + 29888.

Almost surely, 2^51533000 is an apocalyptic number.

51533000 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 51533000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62407800).

51533000 is an abundant number, since it is smaller than the sum of its proper divisors (73282600).

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

51533000 is a wasteful number, since it uses less digits than its factorization.

51533000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 17.

The square root of 51533000 is about 7178.6488979473. The cubic root of 51533000 is about 372.1303932610.

Adding to 51533000 its reverse (33515), we get a palindrome (51566515).

The spelling of 51533000 in words is "fifty-one million, five hundred thirty-three thousand".