2516633271725 has 48 divisors (see below), whose sum is σ = 3164413464576. Its totient is φ = 1985279040000.

The previous prime is 2516633271721. The next prime is 2516633271727. The reversal of 2516633271725 is 5271723366152.

2516633271725 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2516633271725 - 2² = 2516633271721 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2516633271721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 713531912 + ... + 713535438.

It is an arithmetic number, because the mean of its divisors is an integer number (65925280512).

Almost surely, 2^{2516633271725} is an apocalyptic number.

2516633271725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2516633271725 is a deficient number, since it is larger than the sum of its proper divisors (647780192851).

2516633271725 is a wasteful number, since it uses less digits than its factorization.

2516633271725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5006 (or 5001 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 50.

The spelling of 2516633271725 in words is "two trillion, five hundred sixteen billion, six hundred thirty-three million, two hundred seventy-one thousand, seven hundred twenty-five".