541125154101642 has 64 divisors (see below), whose sum is σ = 1182023895748608. Its totient is φ = 163784701080000.

The previous prime is 541125154101611. The next prime is 541125154101673. The reversal of 541125154101642 is 246101451521145.

It is an interprime number because it is at equal distance from previous prime (541125154101611) and next prime (541125154101673).

It is a junction number, because it is equal to n+sod(n) for n = 541125154101594 and 541125154101603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455798292 + ... + 456983952.

It is an arithmetic number, because the mean of its divisors is an integer number (18469123371072).

Almost surely, 2^{541125154101642} is an apocalyptic number.

541125154101642 is an abundant number, since it is smaller than the sum of its proper divisors (640898741646966).

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

541125154101642 is a wasteful number, since it uses less digits than its factorization.

541125154101642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193795.

The product of its (nonzero) digits is 192000, while the sum is 42.

The spelling of 541125154101642 in words is "five hundred forty-one trillion, one hundred twenty-five billion, one hundred fifty-four million, one hundred one thousand, six hundred forty-two".