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540288701 is a prime number
BaseRepresentation
bin100000001101000…
…010011010111101
31101122122111202122
4200031002122331
52101303214301
6125340132325
716250243501
oct4015023275
91348574678
10540288701
11257a84997
12130b370a5
1387c20174
1451a82301
153267581b
hex203426bd

540288701 has 2 divisors, whose sum is σ = 540288702. Its totient is φ = 540288700.

The previous prime is 540288667. The next prime is 540288709. The reversal of 540288701 is 107882045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 531348601 + 8940100 = 23051^2 + 2990^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-540288701 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (540288709) 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, 270144350 + 270144351.

It is an arithmetic number, because the mean of its divisors is an integer number (270144351).

Almost surely, 2540288701 is an apocalyptic number.

540288701 is the 12425-th centered heptagonal number.

It is an amenable number.

540288701 is a deficient number, since it is larger than the sum of its proper divisors (1).

540288701 is an equidigital number, since it uses as much as digits as its factorization.

540288701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17920, while the sum is 35.

The square root of 540288701 is about 23244.1111036753. Note that the first 4 decimals coincide. The cubic root of 540288701 is about 814.4703804352.

The spelling of 540288701 in words is "five hundred forty million, two hundred eighty-eight thousand, seven hundred one".