541545346125 has 96 divisors (see below), whose sum is σ = 1120319895552. Its totient is φ = 246535488000.

The previous prime is 541545346109. The next prime is 541545346241. The reversal of 541545346125 is 521643545145.

541545346125 is a `hidden beast` number, since 5 + 4 + 1 + 54 + 534 + 61 + 2 + 5 = 666.

It is not a de Polignac number, because 541545346125 - 2⁴ = 541545346109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1755204 + ... + 2040546.

It is an arithmetic number, because the mean of its divisors is an integer number (11669998912).

Almost surely, 2^541545346125 is an apocalyptic number.

It is an amenable number.

541545346125 is an abundant number, since it is smaller than the sum of its proper divisors (578774549427).

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

541545346125 is a wasteful number, since it uses less digits than its factorization.

541545346125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285612 (or 285599 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 45.

The spelling of 541545346125 in words is "five hundred forty-one billion, five hundred forty-five million, three hundred forty-six thousand, one hundred twenty-five".