540101523 has 24 divisors (see below), whose sum is σ = 790527792. Its totient is φ = 327794688.

The previous prime is 540101483. The next prime is 540101537. The reversal of 540101523 is 325101045.

It is not a de Polignac number, because 540101523 - 2¹⁶ = 540035987 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 540101523.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540101123) 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, 29715 + ... + 44307.

It is an arithmetic number, because the mean of its divisors is an integer number (32938658).

Almost surely, 2^540101523 is an apocalyptic number.

540101523 is a deficient number, since it is larger than the sum of its proper divisors (250426269).

540101523 is a wasteful number, since it uses less digits than its factorization.

540101523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14695 (or 14682 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 540101523 is about 23240.0844017400. The cubic root of 540101523 is about 814.3763143399.

Adding to 540101523 its reverse (325101045), we get a palindrome (865202568).

The spelling of 540101523 in words is "five hundred forty million, one hundred one thousand, five hundred twenty-three".