540101520 has 400 divisors, whose sum is σ = 2196585600. Its totient is φ = 123451776.

The previous prime is 540101483. The next prime is 540101537. The reversal of 540101520 is 25101045.

540101520 is a `hidden beast` number, since 5 + 40 + 101 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 540101493 and 540101502.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 77157357 + ... + 77157363.

It is an arithmetic number, because the mean of its divisors is an integer number (5491464).

Almost surely, 2^540101520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540101520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098292800).

540101520 is an abundant number, since it is smaller than the sum of its proper divisors (1656484080).

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

540101520 is an frugal number, since it uses more digits than its factorization.

540101520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 540101520 is about 23240.0843371964. The cubic root of 540101520 is about 814.3763128321.

Adding to 540101520 its reverse (25101045), we get a palindrome (565202565).

The spelling of 540101520 in words is "five hundred forty million, one hundred one thousand, five hundred twenty".