2506416516211 has 8 divisors (see below), whose sum is σ = 2546389619424. Its totient is φ = 2466740611200.

The previous prime is 2506416516157. The next prime is 2506416516217. The reversal of 2506416516211 is 1126156146052.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2506416516211 - 2²¹ = 2506414419059 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2506416516217) 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 7 ways as a sum of consecutive naturals, for example, 74282550 + ... + 74316283.

It is an arithmetic number, because the mean of its divisors is an integer number (318298702428).

Almost surely, 2^{2506416516211} is an apocalyptic number.

2506416516211 is a deficient number, since it is larger than the sum of its proper divisors (39973103213).

2506416516211 is a wasteful number, since it uses less digits than its factorization.

2506416516211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148599101.

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 2506416516211 in words is "two trillion, five hundred six billion, four hundred sixteen million, five hundred sixteen thousand, two hundred eleven".