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10513612801 is a prime number
BaseRepresentation
bin10011100101010100…
…10000000000000001
31000010201012212102201
421302222100000001
5133012441102201
64455131113201
7521352143236
oct116252200001
930121185381
1010513612801
1145057299aa
122054ba2801
13cb722a683
1471a45d78d
15418014801
hex272a90001

10513612801 has 2 divisors, whose sum is σ = 10513612802. Its totient is φ = 10513612800.

The previous prime is 10513612771. The next prime is 10513612867. The reversal of 10513612801 is 10821631501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7660450576 + 2853162225 = 87524^2 + 53415^2 .

It is a cyclic number.

It is not a de Polignac number, because 10513612801 - 223 = 10505224193 is a prime.

It is a super-2 number, since 2×105136128012 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10513612801.

It is not a weakly prime, because it can be changed into another prime (10513612871) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5256806400 + 5256806401.

It is an arithmetic number, because the mean of its divisors is an integer number (5256806401).

Almost surely, 210513612801 is an apocalyptic number.

It is an amenable number.

10513612801 is a deficient number, since it is larger than the sum of its proper divisors (1).

10513612801 is an equidigital number, since it uses as much as digits as its factorization.

10513612801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1440, while the sum is 28.

The spelling of 10513612801 in words is "ten billion, five hundred thirteen million, six hundred twelve thousand, eight hundred one".