Search a number
-
+
505106055001 is a prime number
BaseRepresentation
bin1110101100110101010…
…10101011111101011001
31210021202201011011220201
413112122222223331121
531233424122230001
61024013103422201
751330666425152
oct7263252537531
91707681134821
10505106055001
1118523a222169
1281a86bb4961
1338828c601b2
141a639410929
15d214038501
hex759aaabf59

505106055001 has 2 divisors, whose sum is σ = 505106055002. Its totient is φ = 505106055000.

The previous prime is 505106054969. The next prime is 505106055061. The reversal of 505106055001 is 100550601505.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 442644049225 + 62462005776 = 665315^2 + 249924^2 .

It is a cyclic number.

It is not a de Polignac number, because 505106055001 - 25 = 505106054969 is a prime.

It is a super-2 number, since 2×5051060550012 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (505106055061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252553027500 + 252553027501.

It is an arithmetic number, because the mean of its divisors is an integer number (252553027501).

Almost surely, 2505106055001 is an apocalyptic number.

It is an amenable number.

505106055001 is a deficient number, since it is larger than the sum of its proper divisors (1).

505106055001 is an equidigital number, since it uses as much as digits as its factorization.

505106055001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3750, while the sum is 28.

Adding to 505106055001 its reverse (100550601505), we get a palindrome (605656656506).

The spelling of 505106055001 in words is "five hundred five billion, one hundred six million, fifty-five thousand, one".