541308258 has 96 divisors (see below), whose sum is σ = 1271088000. Its totient is φ = 172440576.

The previous prime is 541308247. The next prime is 541308269. The reversal of 541308258 is 852803145.

It is a happy number.

541308258 is a `hidden beast` number, since 541 + 30 + 82 + 5 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (541308247) and next prime (541308269).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2720043 + ... + 2720241.

It is an arithmetic number, because the mean of its divisors is an integer number (13240500).

Almost surely, 2^541308258 is an apocalyptic number.

541308258 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 541308258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635544000).

541308258 is an abundant number, since it is smaller than the sum of its proper divisors (729779742).

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

541308258 is a wasteful number, since it uses less digits than its factorization.

541308258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 541308258 is about 23266.0322788395. The cubic root of 541308258 is about 814.9823765745.

The spelling of 541308258 in words is "five hundred forty-one million, three hundred eight thousand, two hundred fifty-eight".