537925000 has 48 divisors (see below), whose sum is σ = 1260739620. Its totient is φ = 215160000.

The previous prime is 537924991. The next prime is 537925001. The reversal of 537925000 is 529735.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 92968164 + 444956836 = 9642^2 + 21094^2 .

It is not an unprimeable number, because it can be changed into a prime (537925001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14242 + ... + 35758.

Almost surely, 2^537925000 is an apocalyptic number.

537925000 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 537925000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630369810).

537925000 is an abundant number, since it is smaller than the sum of its proper divisors (722814620).

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

537925000 is an equidigital number, since it uses as much as digits as its factorization.

537925000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21548 (or 21524 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 31.

The square root of 537925000 is about 23193.2102133361. The cubic root of 537925000 is about 813.2809060237.

It can be divided in two parts, 53792 and 5000, that multiplied together give a square (268960000 = 16400²).

The spelling of 537925000 in words is "five hundred thirty-seven million, nine hundred twenty-five thousand".