51335000 has 40 divisors (see below), whose sum is σ = 120289620. Its totient is φ = 20532000.

The previous prime is 51334999. The next prime is 51335003. The reversal of 51335000 is 53315.

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

It is a self number, because there is not a number n which added to its sum of digits gives 51335000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51335003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 134 + ... + 10133.

Almost surely, 2^51335000 is an apocalyptic number.

51335000 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 51335000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60144810).

51335000 is an abundant number, since it is smaller than the sum of its proper divisors (68954620).

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

51335000 is a wasteful number, since it uses less digits than its factorization.

51335000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10293 (or 10274 counting only the distinct ones).

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

The square root of 51335000 is about 7164.8447296505. The cubic root of 51335000 is about 371.6531819820.

Adding to 51335000 its reverse (53315), we get a palindrome (51388315).

The spelling of 51335000 in words is "fifty-one million, three hundred thirty-five thousand".