537513300 has 144 divisors (see below), whose sum is σ = 1737597120. Its totient is φ = 142542720.

The previous prime is 537513283. The next prime is 537513311. The reversal of 537513300 is 3315735.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 612462 + ... + 613338.

Almost surely, 2^537513300 is an apocalyptic number.

537513300 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 537513300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868798560).

537513300 is an abundant number, since it is smaller than the sum of its proper divisors (1200083820).

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

537513300 is a wasteful number, since it uses less digits than its factorization.

537513300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 4725, while the sum is 27.

The square root of 537513300 is about 23184.3330721416. Note that the first 3 decimals coincide. The cubic root of 537513300 is about 813.0733720086.

The spelling of 537513300 in words is "five hundred thirty-seven million, five hundred thirteen thousand, three hundred".