2125513728 has 264 divisors, whose sum is σ = 6710442648. Its totient is φ = 644087808.

The previous prime is 2125513703. The next prime is 2125513739. The reversal of 2125513728 is 8273155212.

It can be written as a sum of positive squares in 4 ways, for example, as 115605504 + 2009908224 = 10752^2 + 44832^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2125513692 and 2125513701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13538226 + ... + 13538382.

Almost surely, 2^2125513728 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 2125513728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355221324).

2125513728 is an abundant number, since it is smaller than the sum of its proper divisors (4584928920).

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

2125513728 is a wasteful number, since it uses less digits than its factorization.

2125513728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 288 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 2125513728 is about 46103.2941122432. The cubic root of 2125513728 is about 1285.7443900676.

The spelling of 2125513728 in words is "two billion, one hundred twenty-five million, five hundred thirteen thousand, seven hundred twenty-eight".