540406306053 has 12 divisors (see below), whose sum is σ = 780594448608. Its totient is φ = 360267380520.

The previous prime is 540406306001. The next prime is 540406306057. The reversal of 540406306053 is 350603604045.

540406306053 is a `hidden beast` number, since 5 + 4 + 0 + 40 + 6 + 3 + 0 + 605 + 3 = 666.

It is not a de Polignac number, because 540406306053 - 2¹² = 540406301957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 540406305999 and 540406306017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540406306057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 983776 + ... + 1431302.

It is an arithmetic number, because the mean of its divisors is an integer number (65049537384).

Almost surely, 2^540406306053 is an apocalyptic number.

It is an amenable number.

540406306053 is a deficient number, since it is larger than the sum of its proper divisors (240188142555).

540406306053 is a wasteful number, since it uses less digits than its factorization.

540406306053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581704 (or 581701 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 540406306053 in words is "five hundred forty billion, four hundred six million, three hundred six thousand, fifty-three".