1009756612513 has 16 divisors (see below), whose sum is σ = 1102461174720. Its totient is φ = 917203795200.

The previous prime is 1009756612507. The next prime is 1009756612519. The reversal of 1009756612513 is 3152166579001.

It is an interprime number because it is at equal distance from previous prime (1009756612507) and next prime (1009756612519).

It is not a de Polignac number, because 1009756612513 - 2³³ = 1001166677921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1009756612519) 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, 109264573 + ... + 109273813.

It is an arithmetic number, because the mean of its divisors is an integer number (68903823420).

Almost surely, 2^{1009756612513} is an apocalyptic number.

It is an amenable number.

1009756612513 is a deficient number, since it is larger than the sum of its proper divisors (92704562207).

1009756612513 is a wasteful number, since it uses less digits than its factorization.

1009756612513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16368.

The product of its (nonzero) digits is 340200, while the sum is 46.

The spelling of 1009756612513 in words is "one trillion, nine billion, seven hundred fifty-six million, six hundred twelve thousand, five hundred thirteen".