541357656 has 256 divisors, whose sum is σ = 1733529600. Its totient is φ = 137355264.

The previous prime is 541357591. The next prime is 541357669. The reversal of 541357656 is 656753145.

It is a super-2 number, since 2×541357656² = 586136223419628672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 4966530 + ... + 4966638.

It is an arithmetic number, because the mean of its divisors is an integer number (6771600).

Almost surely, 2^541357656 is an apocalyptic number.

541357656 is a gapful number since it is divisible by the number (56) 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 541357656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866764800).

541357656 is an abundant number, since it is smaller than the sum of its proper divisors (1192171944).

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

541357656 is a wasteful number, since it uses less digits than its factorization.

541357656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 222 counting only the distinct ones).

The product of its digits is 378000, while the sum is 42.

The square root of 541357656 is about 23267.0938451711. The cubic root of 541357656 is about 815.0071666852.

The spelling of 541357656 in words is "five hundred forty-one million, three hundred fifty-seven thousand, six hundred fifty-six".