541388115 has 48 divisors (see below), whose sum is σ = 960313536. Its totient is φ = 282067200.

The previous prime is 541388101. The next prime is 541388117. The reversal of 541388115 is 511883145.

541388115 is a `hidden beast` number, since 541 + 38 + 81 + 1 + 5 = 666.

It is not a de Polignac number, because 541388115 - 2⁶ = 541388051 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 541388115.

It is not an unprimeable number, because it can be changed into a prime (541388117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 457825 + ... + 459005.

It is an arithmetic number, because the mean of its divisors is an integer number (20006532).

Almost surely, 2^541388115 is an apocalyptic number.

541388115 is a deficient number, since it is larger than the sum of its proper divisors (418925421).

541388115 is a wasteful number, since it uses less digits than its factorization.

541388115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1417 counting only the distinct ones).

The product of its digits is 19200, while the sum is 36.

The square root of 541388115 is about 23267.7483869841. The cubic root of 541388115 is about 815.0224516128.

It can be divided in two parts, 5413 and 88115, that added together give a triangular number (93528 = T₄₃₂).

The spelling of 541388115 in words is "five hundred forty-one million, three hundred eighty-eight thousand, one hundred fifteen".