541825632 has 192 divisors, whose sum is σ = 1720232640. Its totient is φ = 165224448.

The previous prime is 541825631. The next prime is 541825643. The reversal of 541825632 is 236528145.

541825632 is a `hidden beast` number, since 5 + 4 + 18 + 2 + 5 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541825631) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 542958 + ... + 543954.

It is an arithmetic number, because the mean of its divisors is an integer number (8959545).

Almost surely, 2^541825632 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 541825632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860116320).

541825632 is an abundant number, since it is smaller than the sum of its proper divisors (1178407008).

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

541825632 is a wasteful number, since it uses less digits than its factorization.

541825632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1056 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 541825632 is about 23277.1482789452. The cubic root of 541825632 is about 815.2419430485.

The spelling of 541825632 in words is "five hundred forty-one million, eight hundred twenty-five thousand, six hundred thirty-two".