541070145 has 64 divisors (see below), whose sum is σ = 1199278080. Its totient is φ = 224856000.

The previous prime is 541070099. The next prime is 541070207.

It is a happy number.

541070145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 541070145 - 2⁷ = 541070017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15631 + ... + 36420.

It is an arithmetic number, because the mean of its divisors is an integer number (18738720).

Almost surely, 2^541070145 is an apocalyptic number.

541070145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

541070145 is an abundant number, since it is smaller than the sum of its proper divisors (658207935).

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

541070145 is a wasteful number, since it uses less digits than its factorization.

541070145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52083 (or 52077 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 541070145 is about 23260.9145349017. The cubic root of 541070145 is about 814.8628597330.

The spelling of 541070145 in words is "five hundred forty-one million, seventy thousand, one hundred forty-five".