541250400505 has 16 divisors (see below), whose sum is σ = 653394277584. Its totient is φ = 430411887360.

The previous prime is 541250400503. The next prime is 541250400533. The reversal of 541250400505 is 505004052145.

It can be written as a sum of positive squares in 8 ways, for example, as 38550966336 + 502699434169 = 196344^2 + 709013^2 .

It is not a de Polignac number, because 541250400505 - 2¹ = 541250400503 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (541250400503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118959 + ... + 1047211.

It is an arithmetic number, because the mean of its divisors is an integer number (40837142349).

Almost surely, 2^541250400505 is an apocalyptic number.

It is an amenable number.

541250400505 is a deficient number, since it is larger than the sum of its proper divisors (112143877079).

541250400505 is a wasteful number, since it uses less digits than its factorization.

541250400505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928956.

The product of its (nonzero) digits is 20000, while the sum is 31.

The spelling of 541250400505 in words is "five hundred forty-one billion, two hundred fifty million, four hundred thousand, five hundred five".