1026352536201 has 24 divisors (see below), whose sum is σ = 1488043032840. Its totient is φ = 681681563136.

The previous prime is 1026352536151. The next prime is 1026352536227.

1026352536201 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 3 + 5 + 25 + 3 + 620 + 1 = 666.

1026352536201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 158006250000 + 868346286201 = 397500^2 + 931851^2 .

It is not a de Polignac number, because 1026352536201 - 2¹⁴ = 1026352519817 is a prime.

It is a super-3 number, since 3×1026352536201³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1026352537201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25630471 + ... + 25670483.

It is an arithmetic number, because the mean of its divisors is an integer number (62001793035).

Almost surely, 2^{1026352536201} is an apocalyptic number.

It is an amenable number.

1026352536201 is a deficient number, since it is larger than the sum of its proper divisors (461690496639).

1026352536201 is a wasteful number, since it uses less digits than its factorization.

1026352536201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50585 (or 50582 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 1026352536201 in words is "one trillion, twenty-six billion, three hundred fifty-two million, five hundred thirty-six thousand, two hundred one".