2135991019009 has 9 divisors (see below), whose sum is σ = 2144299597059. Its totient is φ = 2127714527520.

The previous prime is 2135991019003. The next prime is 2135991019013. The reversal of 2135991019009 is 9009101995312.

It is a happy number.

The square root of 2135991019009 is 1461503.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2035801044225 + 100189974784 = 1426815^2 + 316528^2 .

It is not a de Polignac number, because 2135991019009 - 2¹⁹ = 2135990494721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2135991019003) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 396064617 + ... + 396070009.

Almost surely, 2^{2135991019009} is an apocalyptic number.

2135991019009 is the 1461503-rd square number.

2135991019009 is the 730752-nd centered octagonal number.

It is an amenable number.

2135991019009 is a deficient number, since it is larger than the sum of its proper divisors (8308578050).

2135991019009 is an frugal number, since it uses more digits than its factorization.

2135991019009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11328 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 196830, while the sum is 49.

Multiplying 2135991019009 by its sum of digits (49), we get a square (104663559931441 = 10230521²).

The spelling of 2135991019009 in words is "two trillion, one hundred thirty-five billion, nine hundred ninety-one million, nineteen thousand, nine".