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540369901 is a prime number
BaseRepresentation
bin100000001101010…
…110001111101101
31101122210122011001
4200031112033231
52101313314101
6125342000301
716251032311
oct4015261755
91348718131
10540369901
1125802a9a5
12130b76091
1387c4b106
1451aa3b41
153268e901
hex203563ed

540369901 has 2 divisors, whose sum is σ = 540369902. Its totient is φ = 540369900.

The previous prime is 540369881. The next prime is 540369911. The reversal of 540369901 is 109963045.

540369901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 330148900 + 210221001 = 18170^2 + 14499^2 .

It is a cyclic number.

It is not a de Polignac number, because 540369901 - 213 = 540361709 is a prime.

It is a super-3 number, since 3×5403699013 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (540369911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270184950 + 270184951.

It is an arithmetic number, because the mean of its divisors is an integer number (270184951).

Almost surely, 2540369901 is an apocalyptic number.

It is an amenable number.

540369901 is a deficient number, since it is larger than the sum of its proper divisors (1).

540369901 is an equidigital number, since it uses as much as digits as its factorization.

540369901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29160, while the sum is 37.

The square root of 540369901 is about 23245.8577170213. The cubic root of 540369901 is about 814.5111806480.

The spelling of 540369901 in words is "five hundred forty million, three hundred sixty-nine thousand, nine hundred one".