1872013406509 has 16 divisors (see below), whose sum is σ = 2014720643376. Its totient is φ = 1732929868800.

The previous prime is 1872013406507. The next prime is 1872013406567. The reversal of 1872013406509 is 9056043102781.

It can be written as a sum of positive squares in 8 ways, for example, as 39772324900 + 1832241081609 = 199430^2 + 1353603^2 .

It is a cyclic number.

It is not a de Polignac number, because 1872013406509 - 2¹ = 1872013406507 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1872013406507) 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 15 ways as a sum of consecutive naturals, for example, 43720299 + ... + 43763095.

It is an arithmetic number, because the mean of its divisors is an integer number (125920040211).

It is a 1-persistent number, because it is pandigital, but 2⋅1872013406509 = 3744026813018 is not.

Almost surely, 2^{1872013406509} is an apocalyptic number.

It is an amenable number.

1872013406509 is a deficient number, since it is larger than the sum of its proper divisors (142707236867).

1872013406509 is a wasteful number, since it uses less digits than its factorization.

1872013406509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85056.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 1872013406509 in words is "one trillion, eight hundred seventy-two billion, thirteen million, four hundred six thousand, five hundred nine".