537520000 has 80 divisors (see below), whose sum is σ = 1338321600. Its totient is φ = 214976000.

The previous prime is 537519977. The next prime is 537520001. The reversal of 537520000 is 25735.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×537520000³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537520001) 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, 76641 + ... + 83359.

It is an arithmetic number, because the mean of its divisors is an integer number (16729020).

Almost surely, 2^537520000 is an apocalyptic number.

537520000 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 537520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669160800).

537520000 is an abundant number, since it is smaller than the sum of its proper divisors (800801600).

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

537520000 is an frugal number, since it uses more digits than its factorization.

537520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6753 (or 6726 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 22.

The square root of 537520000 is about 23184.4775658198. The cubic root of 537520000 is about 813.0767502623.

Adding to 537520000 its reverse (25735), we get a palindrome (537545735).

The spelling of 537520000 in words is "five hundred thirty-seven million, five hundred twenty thousand".