541051632 has 120 divisors (see below), whose sum is σ = 1723782528. Its totient is φ = 156816000.

The previous prime is 541051627. The next prime is 541051661. The reversal of 541051632 is 236150145.

541051632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 541051596 and 541051605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29007 + ... + 43857.

Almost surely, 2^541051632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541051632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861891264).

541051632 is an abundant number, since it is smaller than the sum of its proper divisors (1182730896).

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

541051632 is a wasteful number, since it uses less digits than its factorization.

541051632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14899 (or 14890 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 541051632 is about 23260.5165892763. The cubic root of 541051632 is about 814.8535659730.

The spelling of 541051632 in words is "five hundred forty-one million, fifty-one thousand, six hundred thirty-two".