540142581 has 32 divisors (see below), whose sum is σ = 846028800. Its totient is φ = 302862080.

The previous prime is 540142571. The next prime is 540142591. The reversal of 540142581 is 185241045.

It is an interprime number because it is at equal distance from previous prime (540142571) and next prime (540142591).

It is a cyclic number.

It is not a de Polignac number, because 540142581 - 2⁶ = 540142517 is a prime.

It is a super-2 number, since 2×540142581² = 583508015618683122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540142501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24940 + ... + 41258.

It is an arithmetic number, because the mean of its divisors is an integer number (26438400).

Almost surely, 2^540142581 is an apocalyptic number.

540142581 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

540142581 is a deficient number, since it is larger than the sum of its proper divisors (305886219).

540142581 is a wasteful number, since it uses less digits than its factorization.

540142581 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16409.

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 540142581 is about 23240.9677294213. The cubic root of 540142581 is about 814.3969498526.

The spelling of 540142581 in words is "five hundred forty million, one hundred forty-two thousand, five hundred eighty-one".