540521101125045 has 96 divisors (see below), whose sum is σ = 980833757304960. Its totient is φ = 275114104819200.

The previous prime is 540521101124999. The next prime is 540521101125059.

540521101125045 is a `hidden beast` number, since 5 + 4 + 0 + 5 + 21 + 10 + 112 + 504 + 5 = 666.

540521101125045 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 540521101125045 - 2⁸ = 540521101124789 is a prime.

It is a super-2 number, since 2×540521101125045² (a number of 30 digits) contains 22 as substring.

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, 2973886 + ... + 33013424.

It is an arithmetic number, because the mean of its divisors is an integer number (10217018305260).

Almost surely, 2^{540521101125045} is an apocalyptic number.

It is an amenable number.

540521101125045 is a deficient number, since it is larger than the sum of its proper divisors (440312656179915).

540521101125045 is a wasteful number, since it uses less digits than its factorization.

540521101125045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30039795 (or 30039792 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

It can be divided in two parts, 54052110 and 1125045, that added together give a palindrome (55177155).

The spelling of 540521101125045 in words is "five hundred forty trillion, five hundred twenty-one billion, one hundred one million, one hundred twenty-five thousand, forty-five".