541010088 has 96 divisors (see below), whose sum is σ = 1513512000. Its totient is φ = 174470400.

The previous prime is 541010077. The next prime is 541010089. The reversal of 541010088 is 880010145.

It is not an unprimeable number, because it can be changed into a prime (541010089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386013 + ... + 387411.

It is an arithmetic number, because the mean of its divisors is an integer number (15765750).

Almost surely, 2^541010088 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 541010088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756756000).

541010088 is an abundant number, since it is smaller than the sum of its proper divisors (972501912).

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

541010088 is a wasteful number, since it uses less digits than its factorization.

541010088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 541010088 is about 23259.6235567130. The cubic root of 541010088 is about 814.8327095882.

The spelling of 541010088 in words is "five hundred forty-one million, ten thousand, eighty-eight".