4013765509 has 16 divisors (see below), whose sum is σ = 4354257600. Its totient is φ = 3677884416.

The previous prime is 4013765507. The next prime is 4013765519. The reversal of 4013765509 is 9055673104.

It is a cyclic number.

It is not a de Polignac number, because 4013765509 - 2¹ = 4013765507 is a prime.

It is a super-2 number, since 2×4013765509² = 32220627122476058162, which 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 (4013765507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1788342 + ... + 1790584.

It is an arithmetic number, because the mean of its divisors is an integer number (272141100).

Almost surely, 2^4013765509 is an apocalyptic number.

It is an amenable number.

4013765509 is a deficient number, since it is larger than the sum of its proper divisors (340492091).

4013765509 is a wasteful number, since it uses less digits than its factorization.

4013765509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204.

The product of its (nonzero) digits is 113400, while the sum is 40.

The square root of 4013765509 is about 63354.2856403574. The cubic root of 4013765509 is about 1589.2199157179.

The spelling of 4013765509 in words is "four billion, thirteen million, seven hundred sixty-five thousand, five hundred nine".