541308516 has 48 divisors (see below), whose sum is σ = 1451089920. Its totient is φ = 153845280.

The previous prime is 541308503. The next prime is 541308529. The reversal of 541308516 is 615803145.

It is an interprime number because it is at equal distance from previous prime (541308503) and next prime (541308529).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 826 + ... + 32913.

It is an arithmetic number, because the mean of its divisors is an integer number (30231040).

Almost surely, 2^541308516 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 541308516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725544960).

541308516 is an abundant number, since it is smaller than the sum of its proper divisors (909781404).

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

541308516 is a wasteful number, since it uses less digits than its factorization.

541308516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33944 (or 33942 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 541308516 is about 23266.0378234026. The cubic root of 541308516 is about 814.9825060543.

The spelling of 541308516 in words is "five hundred forty-one million, three hundred eight thousand, five hundred sixteen".