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561101050601 = 72131751814669
BaseRepresentation
bin10000010101001000011…
…10101001001011101001
31222122022002121200110122
420022210032221023221
533143113332104401
61105433302453025
755352415144200
oct10124416511351
91878262550418
10561101050601
111a6a63a08133
12908b3734175
1340bb0a35ba0
141d22c00a237
15e8ded7821b
hex82a43a92e9

561101050601 has 24 divisors (see below), whose sum is σ = 744265919880. Its totient is φ = 417833482752.

The previous prime is 561101050591. The next prime is 561101050651. The reversal of 561101050601 is 106050101165.

It can be written as a sum of positive squares in 4 ways, for example, as 205074028201 + 356027022400 = 452851^2 + 596680^2 .

It is not a de Polignac number, because 561101050601 - 222 = 561096856297 is a prime.

It is a super-2 number, since 2×5611010506012 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (561101050651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25896506 + ... + 25918163.

It is an arithmetic number, because the mean of its divisors is an integer number (31011079995).

Almost surely, 2561101050601 is an apocalyptic number.

It is an amenable number.

561101050601 is a deficient number, since it is larger than the sum of its proper divisors (183164869279).

561101050601 is a wasteful number, since it uses less digits than its factorization.

561101050601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51814713 (or 51814706 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

Adding to 561101050601 its reverse (106050101165), we get a palindrome (667151151766).

The spelling of 561101050601 in words is "five hundred sixty-one billion, one hundred one million, fifty thousand, six hundred one".

Divisors: 1 7 13 17 49 91 119 221 637 833 1547 10829 51814669 362702683 673590697 880849373 2538918781 4715134879 6165945611 11451041849 33005944153 43161619277 80157292943 561101050601