1009432315311 has 16 divisors (see below), whose sum is σ = 1539200613888. Its totient is φ = 576436701600.

The previous prime is 1009432315277. The next prime is 1009432315349. The reversal of 1009432315311 is 1135132349001.

It is not a de Polignac number, because 1009432315311 - 2¹⁸ = 1009432053167 is a prime.

It is a super-2 number, since 2×1009432315311² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009432315361) 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, 15874360 + ... + 15937821.

It is an arithmetic number, because the mean of its divisors is an integer number (96200038368).

Almost surely, 2^{1009432315311} is an apocalyptic number.

1009432315311 is a deficient number, since it is larger than the sum of its proper divisors (529768298577).

1009432315311 is a wasteful number, since it uses less digits than its factorization.

1009432315311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31813702.

The product of its (nonzero) digits is 9720, while the sum is 33.

The spelling of 1009432315311 in words is "one trillion, nine billion, four hundred thirty-two million, three hundred fifteen thousand, three hundred eleven".