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540541314521 = 131771127271253
BaseRepresentation
bin1111101110110101100…
…01011110010111011001
31220200020020211212122222
413313122301132113121
532324012034031041
61052153220153425
754024055235525
oct7673261362731
91820206755588
10540541314521
1119927353110a
1288916238875
133bc853bc390
141c23b65cd85
15e0d9de474b
hex7ddac5e5d9

540541314521 has 32 divisors (see below), whose sum is σ = 629968969728. Its totient is φ = 459348986880.

The previous prime is 540541314499. The next prime is 540541314553. The reversal of 540541314521 is 125413145045.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-540541314521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (540541314581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1857131 + ... + 2128383.

It is an arithmetic number, because the mean of its divisors is an integer number (19686530304).

Almost surely, 2540541314521 is an apocalyptic number.

It is an amenable number.

540541314521 is a deficient number, since it is larger than the sum of its proper divisors (89427655207).

540541314521 is a wasteful number, since it uses less digits than its factorization.

540541314521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271481.

The product of its (nonzero) digits is 48000, while the sum is 35.

Adding to 540541314521 its reverse (125413145045), we get a palindrome (665954459566).

The spelling of 540541314521 in words is "five hundred forty billion, five hundred forty-one million, three hundred fourteen thousand, five hundred twenty-one".

Divisors: 1 13 17 71 127 221 923 1207 1651 2159 9017 15691 28067 117221 153289 271253 1992757 3526289 4611301 19258963 34449131 59946913 250366519 327402371 447838703 585635227 2445888301 4256230823 7613257951 31796547913 41580101117 540541314521