541351537056 has 384 divisors, whose sum is σ = 1760775045120. Its totient is φ = 160436505600.

The previous prime is 541351537043. The next prime is 541351537081. The reversal of 541351537056 is 650735153145.

541351537056 is a `hidden beast` number, since 5 + 4 + 13 + 51 + 537 + 0 + 56 = 666.

It is a super-2 number, since 2×541351537056² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85694410 + ... + 85700726.

It is an arithmetic number, because the mean of its divisors is an integer number (4585351680).

Almost surely, 2^541351537056 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 541351537056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880387522560).

541351537056 is an abundant number, since it is smaller than the sum of its proper divisors (1219423508064).

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

541351537056 is a wasteful number, since it uses less digits than its factorization.

541351537056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6545 (or 6531 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 541351537056 in words is "five hundred forty-one billion, three hundred fifty-one million, five hundred thirty-seven thousand, fifty-six".