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10264858001 is a prime number
BaseRepresentation
bin10011000111101010…
…10100110110010001
3222111101010210222222
421203311110312101
5132010300424001
64414323310425
7512241565466
oct114365246621
928441123888
1010264858001
114398276822
121ba581b415
13c77832998
146d53c966d
1540127961b
hex263d54d91

10264858001 has 2 divisors, whose sum is σ = 10264858002. Its totient is φ = 10264858000.

The previous prime is 10264857997. The next prime is 10264858013. The reversal of 10264858001 is 10085846201.

10264858001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9816053776 + 448804225 = 99076^2 + 21185^2 .

It is a cyclic number.

It is not a de Polignac number, because 10264858001 - 22 = 10264857997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10264858081) 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 as a sum of consecutive naturals, namely, 5132429000 + 5132429001.

It is an arithmetic number, because the mean of its divisors is an integer number (5132429001).

Almost surely, 210264858001 is an apocalyptic number.

It is an amenable number.

10264858001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10264858001 is an equidigital number, since it uses as much as digits as its factorization.

10264858001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15360, while the sum is 35.

The spelling of 10264858001 in words is "ten billion, two hundred sixty-four million, eight hundred fifty-eight thousand, one".