172271040013 has 16 divisors (see below), whose sum is σ = 190016133120. Its totient is φ = 155467641600.

The previous prime is 172271040001. The next prime is 172271040023. The reversal of 172271040013 is 310040172271.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-172271040013 is a prime.

It is a super-2 number, since 2×172271040013² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172271040023) 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 in 15 ways as a sum of consecutive naturals, for example, 1442053 + ... + 1556938.

It is an arithmetic number, because the mean of its divisors is an integer number (11876008320).

Almost surely, 2^172271040013 is an apocalyptic number.

It is an amenable number.

172271040013 is a deficient number, since it is larger than the sum of its proper divisors (17745093107).

172271040013 is a wasteful number, since it uses less digits than its factorization.

172271040013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999148.

The product of its (nonzero) digits is 2352, while the sum is 28.

The spelling of 172271040013 in words is "one hundred seventy-two billion, two hundred seventy-one million, forty thousand, thirteen".