2516515840609 has 9 divisors (see below), whose sum is σ = 2552573180209. Its totient is φ = 2480960910820.

The previous prime is 2516515840591. The next prime is 2516515840637. The reversal of 2516515840609 is 9060485156152.

The square root of 2516515840609 is 1586353.

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

It is not a de Polignac number, because 2516515840609 - 2¹⁷ = 2516515709537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2516515840649) 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, 112619892 + ... + 112642234.

Almost surely, 2^{2516515840609} is an apocalyptic number.

2516515840609 is the 1586353-rd square number.

2516515840609 is the 793177-th centered octagonal number.

It is an amenable number.

2516515840609 is a deficient number, since it is larger than the sum of its proper divisors (36057339600).

2516515840609 is an frugal number, since it uses more digits than its factorization.

2516515840609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44828 (or 22414 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 52.

The spelling of 2516515840609 in words is "two trillion, five hundred sixteen billion, five hundred fifteen million, eight hundred forty thousand, six hundred nine".