541525500 has 144 divisors (see below), whose sum is σ = 1772001504. Its totient is φ = 144374400.

The previous prime is 541525459. The next prime is 541525511. The reversal of 541525500 is 5525145.

541525500 is a `hidden beast` number, since 5 + 4 + 152 + 5 + 500 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119272 + ... + 123728.

It is an arithmetic number, because the mean of its divisors is an integer number (12305566).

Almost surely, 2^541525500 is an apocalyptic number.

541525500 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 541525500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886000752).

541525500 is an abundant number, since it is smaller than the sum of its proper divisors (1230476004).

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

541525500 is a wasteful number, since it uses less digits than its factorization.

541525500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4491 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 541525500 is about 23270.7004621692. The cubic root of 541525500 is about 815.0913869947.

The spelling of 541525500 in words is "five hundred forty-one million, five hundred twenty-five thousand, five hundred".