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540011032037 is a prime number
BaseRepresentation
bin1111101101110110010…
…10100110110111100101
31220121212022000201211222
413312323022212313211
532321420311011122
61052024434310125
754004656015461
oct7667312466745
91817768021758
10540011032037
11199021171024
12887a8728345
133bbcc593869
141c1cb0634a1
15e0a8598b42
hex7dbb2a6de5

540011032037 has 2 divisors, whose sum is σ = 540011032038. Its totient is φ = 540011032036.

The previous prime is 540011031961. The next prime is 540011032049. The reversal of 540011032037 is 730230110045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 341352736516 + 198658295521 = 584254^2 + 445711^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-540011032037 is a prime.

It is a super-4 number, since 4×5400110320374 (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 540011031997 and 540011032015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (540011032087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270005516018 + 270005516019.

It is an arithmetic number, because the mean of its divisors is an integer number (270005516019).

Almost surely, 2540011032037 is an apocalyptic number.

It is an amenable number.

540011032037 is a deficient number, since it is larger than the sum of its proper divisors (1).

540011032037 is an equidigital number, since it uses as much as digits as its factorization.

540011032037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 26.

The spelling of 540011032037 in words is "five hundred forty billion, eleven million, thirty-two thousand, thirty-seven".