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10536263501 is a prime number
BaseRepresentation
bin10011101000000001…
…01001111101001101
31000012021211122100112
421310000221331031
5133034240413001
64501300405405
7522045522251
oct116400517515
930167748315
1010536263501
11451749a795
1220606a6865
13cbbb2b45a
1471d478261
15419edacbb
hex274029f4d

10536263501 has 2 divisors, whose sum is σ = 10536263502. Its totient is φ = 10536263500.

The previous prime is 10536263489. The next prime is 10536263503.

10536263501 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9273882601 + 1262380900 = 96301^2 + 35530^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10536263501 is a prime.

It is a super-2 number, since 2×105362635012 (a number of 21 digits) contains 22 as substring.

Together with 10536263503, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10536263503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5268131750 + 5268131751.

It is an arithmetic number, because the mean of its divisors is an integer number (5268131751).

Almost surely, 210536263501 is an apocalyptic number.

It is an amenable number.

10536263501 is a deficient number, since it is larger than the sum of its proper divisors (1).

10536263501 is an equidigital number, since it uses as much as digits as its factorization.

10536263501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16200, while the sum is 32.

The spelling of 10536263501 in words is "ten billion, five hundred thirty-six million, two hundred sixty-three thousand, five hundred one".