53541000 has 160 divisors (see below), whose sum is σ = 187438680. Its totient is φ = 14256000.

The previous prime is 53540969. The next prime is 53541049. The reversal of 53541000 is 14535.

It can be written as a sum of positive squares in 4 ways, for example, as 23794884 + 29746116 = 4878^2 + 5454^2 .

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

It is an unprimeable number.

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

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80670 + ... + 81330.

Almost surely, 2^53541000 is an apocalyptic number.

53541000 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 53541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93719340).

53541000 is an abundant number, since it is smaller than the sum of its proper divisors (133897680).

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

53541000 is a wasteful number, since it uses less digits than its factorization.

53541000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 53541000 is about 7317.1715847040. The cubic root of 53541000 is about 376.9023333558.

Adding to 53541000 its reverse (14535), we get a palindrome (53555535).

The spelling of 53541000 in words is "fifty-three million, five hundred forty-one thousand".