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10506556153 is a prime number
BaseRepresentation
bin10011100100011110…
…10101001011111001
31000010012221100112101
421302033111023321
5133004134244103
64454315543401
7521235153022
oct116217251371
930105840471
1010506556153
11450174a165
12205275ab61
13cb5929742
14719543c49
154175bda1d
hex2723d52f9

10506556153 has 2 divisors, whose sum is σ = 10506556154. Its totient is φ = 10506556152.

The previous prime is 10506556139. The next prime is 10506556163. The reversal of 10506556153 is 35165560501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5255090064 + 5251466089 = 72492^2 + 72467^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10506556153 is a prime.

It is a super-2 number, since 2×105065561532 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10506556163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5253278076 + 5253278077.

It is an arithmetic number, because the mean of its divisors is an integer number (5253278077).

Almost surely, 210506556153 is an apocalyptic number.

It is an amenable number.

10506556153 is a deficient number, since it is larger than the sum of its proper divisors (1).

10506556153 is an equidigital number, since it uses as much as digits as its factorization.

10506556153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 67500, while the sum is 37.

The spelling of 10506556153 in words is "ten billion, five hundred six million, five hundred fifty-six thousand, one hundred fifty-three".