540101537 has 2 divisors, whose sum is σ = 540101538. Its totient is φ = 540101536.

The previous prime is 540101483. The next prime is 540101557. The reversal of 540101537 is 735101045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 536570896 + 3530641 = 23164^2 + 1879^2 .

It is a cyclic number.

It is not a de Polignac number, because 540101537 - 2¹⁸ = 539839393 is a prime.

It is not a weakly prime, because it can be changed into another prime (540101557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270050768 + 270050769.

It is an arithmetic number, because the mean of its divisors is an integer number (270050769).

Almost surely, 2^540101537 is an apocalyptic number.

It is an amenable number.

540101537 is a deficient number, since it is larger than the sum of its proper divisors (1).

540101537 is an equidigital number, since it uses as much as digits as its factorization.

540101537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 540101537 is about 23240.0847029437. The cubic root of 540101537 is about 814.3763213764.

The spelling of 540101537 in words is "five hundred forty million, one hundred one thousand, five hundred thirty-seven".