540567626765045 has 24 divisors (see below), whose sum is σ = 713161191220632. Its totient is φ = 393058474941440.

The previous prime is 540567626765041. The next prime is 540567626765053.

540567626765045 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 31865675010961 + 508701951754084 = 5644969^2 + 22554422^2 .

It is not a de Polignac number, because 540567626765045 - 2² = 540567626765041 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540567626765041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89830184 + ... + 95658753.

It is an arithmetic number, because the mean of its divisors is an integer number (29715049634193).

Almost surely, 2^{540567626765045} is an apocalyptic number.

540567626765045 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

540567626765045 is a deficient number, since it is larger than the sum of its proper divisors (172593564455587).

540567626765045 is a wasteful number, since it uses less digits than its factorization.

540567626765045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185493781 (or 185493770 counting only the distinct ones).

The product of its (nonzero) digits is 1270080000, while the sum is 68.

The spelling of 540567626765045 in words is "five hundred forty trillion, five hundred sixty-seven billion, six hundred twenty-six million, seven hundred sixty-five thousand, forty-five".