2516125921 has 9 divisors (see below), whose sum is σ = 2546019441. Its totient is φ = 2486581092.

The previous prime is 2516125877. The next prime is 2516125949. The reversal of 2516125921 is 1295216152.

The square root of 2516125921 is 50161.

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

It is not a de Polignac number, because 2516125921 - 2⁷ = 2516125793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2516125981) 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, 5166340 + ... + 5166826.

It is an arithmetic number, because the mean of its divisors is an integer number (282891049).

Almost surely, 2^2516125921 is an apocalyptic number.

2516125921 is the 50161-st square number.

2516125921 is the 25081-st centered octagonal number.

It is an amenable number.

2516125921 is a deficient number, since it is larger than the sum of its proper divisors (29893520).

2516125921 is an frugal number, since it uses more digits than its factorization.

2516125921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 590 counting only the distinct ones).

The product of its digits is 10800, while the sum is 34.

The cubic root of 2516125921 is about 1360.1207218745.

The spelling of 2516125921 in words is "two billion, five hundred sixteen million, one hundred twenty-five thousand, nine hundred twenty-one".