2513890242209 has 16 divisors (see below), whose sum is σ = 2669570246400. Its totient is φ = 2363651611776.

The previous prime is 2513890242121. The next prime is 2513890242211. The reversal of 2513890242209 is 9022420983152.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2513890242209 - 2²⁰ = 2513889193633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2513890242709) 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, 7348439 + ... + 7682924.

It is an arithmetic number, because the mean of its divisors is an integer number (166848140400).

Almost surely, 2^{2513890242209} is an apocalyptic number.

2513890242209 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2513890242209 is a deficient number, since it is larger than the sum of its proper divisors (155680004191).

2513890242209 is a wasteful number, since it uses less digits than its factorization.

2513890242209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15031544.

The product of its (nonzero) digits is 622080, while the sum is 47.

The spelling of 2513890242209 in words is "two trillion, five hundred thirteen billion, eight hundred ninety million, two hundred forty-two thousand, two hundred nine".