2125653516 has 180 divisors, whose sum is σ = 6507236736. Its totient is φ = 603288000.

The previous prime is 2125653511. The next prime is 2125653521. The reversal of 2125653516 is 6153565212.

It is an interprime number because it is at equal distance from previous prime (2125653511) and next prime (2125653521).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2125653511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3031966 + ... + 3032666.

Almost surely, 2^2125653516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2125653516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3253618368).

2125653516 is an abundant number, since it is smaller than the sum of its proper divisors (4381583220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2125653516 is a wasteful number, since it uses less digits than its factorization.

2125653516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 904 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 2125653516 is about 46104.8101178174. The cubic root of 2125653516 is about 1285.7725758335.

The spelling of 2125653516 in words is "two billion, one hundred twenty-five million, six hundred fifty-three thousand, five hundred sixteen".