4072585011 has 16 divisors (see below), whose sum is σ = 5998748160. Its totient is φ = 2436988320.

The previous prime is 4072585003. The next prime is 4072585037. The reversal of 4072585011 is 1105852704.

It is not a de Polignac number, because 4072585011 - 2³ = 4072585003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4072585051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 778480 + ... + 783693.

It is an arithmetic number, because the mean of its divisors is an integer number (374921760).

Almost surely, 2^4072585011 is an apocalyptic number.

4072585011 is a deficient number, since it is larger than the sum of its proper divisors (1926163149).

4072585011 is a wasteful number, since it uses less digits than its factorization.

4072585011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562266.

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 4072585011 is about 63816.8082169580. The cubic root of 4072585011 is about 1596.9453451961.

The spelling of 4072585011 in words is "four billion, seventy-two million, five hundred eighty-five thousand, eleven".