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536406312601 is a prime number
BaseRepresentation
bin1111100111001000100…
…11101100011010011001
31220021120002010000101201
413303210103230122121
532242030004000401
61050231024514201
753516435266405
oct7634423543231
91807502100351
10536406312601
11197541419a55
1287b6147b961
133b776820593
141bd68406105
15de46da3b01
hex7ce44ec699

536406312601 has 2 divisors, whose sum is σ = 536406312602. Its totient is φ = 536406312600.

The previous prime is 536406312599. The next prime is 536406312623. The reversal of 536406312601 is 106213604635.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 294365928025 + 242040384576 = 542555^2 + 491976^2 .

It is a cyclic number.

It is not a de Polignac number, because 536406312601 - 21 = 536406312599 is a prime.

Together with 536406312599, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (536406312641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 268203156300 + 268203156301.

It is an arithmetic number, because the mean of its divisors is an integer number (268203156301).

Almost surely, 2536406312601 is an apocalyptic number.

It is an amenable number.

536406312601 is a deficient number, since it is larger than the sum of its proper divisors (1).

536406312601 is an equidigital number, since it uses as much as digits as its factorization.

536406312601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 536406312601 in words is "five hundred thirty-six billion, four hundred six million, three hundred twelve thousand, six hundred one".