2072088013 has 8 divisors (see below), whose sum is σ = 2118038400. Its totient is φ = 2026215360.

The previous prime is 2072088001. The next prime is 2072088043. The reversal of 2072088013 is 3108802702.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2072088013 - 2¹⁷ = 2071956941 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 (2072088043) 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 7 ways as a sum of consecutive naturals, for example, 36213 + ... + 73861.

It is an arithmetic number, because the mean of its divisors is an integer number (264754800).

Almost surely, 2^2072088013 is an apocalyptic number.

It is an amenable number.

2072088013 is a deficient number, since it is larger than the sum of its proper divisors (45950387).

2072088013 is a wasteful number, since it uses less digits than its factorization.

2072088013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38867.

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 2072088013 is about 45520.1934640001. The cubic root of 2072088013 is about 1274.8802682389.

The spelling of 2072088013 in words is "two billion, seventy-two million, eighty-eight thousand, thirteen".