15393940009201 has 16 divisors (see below), whose sum is σ = 16834312058704. Its totient is φ = 13990845947904.

The previous prime is 15393940009159. The next prime is 15393940009207. The reversal of 15393940009201 is 10290004939351.

It can be written as a sum of positive squares in 8 ways, for example, as 180812048400 + 15213127960801 = 425220^2 + 3900401^2 .

It is a cyclic number.

It is not a de Polignac number, because 15393940009201 - 2¹³ = 15393940001009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15393940009207) 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 in 15 ways as a sum of consecutive naturals, for example, 13508946 + ... + 14604091.

It is an arithmetic number, because the mean of its divisors is an integer number (1052144503669).

Almost surely, 2^{15393940009201} is an apocalyptic number.

It is an amenable number.

15393940009201 is a deficient number, since it is larger than the sum of its proper divisors (1440372049503).

15393940009201 is a wasteful number, since it uses less digits than its factorization.

15393940009201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28113700.

The product of its (nonzero) digits is 262440, while the sum is 46.

The spelling of 15393940009201 in words is "fifteen trillion, three hundred ninety-three billion, nine hundred forty million, nine thousand, two hundred one".