540460513 has 2 divisors, whose sum is σ = 540460514. Its totient is φ = 540460512.

The previous prime is 540460511. The next prime is 540460519. The reversal of 540460513 is 315064045.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 462809169 + 77651344 = 21513^2 + 8812^2 .

It is a cyclic number.

It is not a de Polignac number, because 540460513 - 2¹ = 540460511 is a prime.

It is a super-2 number, since 2×540460513² = 584195132224446338, which contains 22 as substring.

Together with 540460511, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (540460511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270230256 + 270230257.

It is an arithmetic number, because the mean of its divisors is an integer number (270230257).

Almost surely, 2^540460513 is an apocalyptic number.

It is an amenable number.

540460513 is a deficient number, since it is larger than the sum of its proper divisors (1).

540460513 is an equidigital number, since it uses as much as digits as its factorization.

540460513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 540460513 is about 23247.8066277230. The cubic root of 540460513 is about 814.5567052427.

The spelling of 540460513 in words is "five hundred forty million, four hundred sixty thousand, five hundred thirteen".