537782500 has 60 divisors (see below), whose sum is σ = 1189728540. Its totient is φ = 212608000.

The previous prime is 537782491. The next prime is 537782501. The reversal of 537782500 is 5287735.

It can be written as a sum of positive squares in 10 ways, for example, as 342398016 + 195384484 = 18504^2 + 13978^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 537782500.

It is not an unprimeable number, because it can be changed into a prime (537782501) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 221292 + ... + 223708.

It is an arithmetic number, because the mean of its divisors is an integer number (19828809).

Almost surely, 2^537782500 is an apocalyptic number.

537782500 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 537782500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594864270).

537782500 is an abundant number, since it is smaller than the sum of its proper divisors (651946040).

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

537782500 is a wasteful number, since it uses less digits than its factorization.

537782500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 37.

The square root of 537782500 is about 23190.1379901026. The cubic root of 537782500 is about 813.2090851291.

The spelling of 537782500 in words is "five hundred thirty-seven million, seven hundred eighty-two thousand, five hundred".