51525000 has 144 divisors (see below), whose sum is σ = 175184100. Its totient is φ = 13680000.

The previous prime is 51524999. The next prime is 51525013. The reversal of 51525000 is 52515.

It can be written as a sum of positive squares in 6 ways, for example, as 459684 + 51065316 = 678^2 + 7146^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 224886 + ... + 225114.

Almost surely, 2^51525000 is an apocalyptic number.

51525000 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 51525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87592050).

51525000 is an abundant number, since it is smaller than the sum of its proper divisors (123659100).

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

51525000 is a wasteful number, since it uses less digits than its factorization.

51525000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 51525000 is about 7178.0916684032. The cubic root of 51525000 is about 372.1111357159. Note that the first 4 decimals are identical.

Adding to 51525000 its reverse (52515), we get a palindrome (51577515).

The spelling of 51525000 in words is "fifty-one million, five hundred twenty-five thousand".