7851753252 has 96 divisors (see below), whose sum is σ = 23323946240. Its totient is φ = 2237621760.

The previous prime is 7851753223. The next prime is 7851753281. The reversal of 7851753252 is 2523571587.

It is an interprime number because it is at equal distance from previous prime (7851753223) and next prime (7851753281).

It is a junction number, because it is equal to n+sod(n) for n = 7851753198 and 7851753207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287052 + ... + 313212.

Almost surely, 2^7851753252 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 7851753252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11661973120).

7851753252 is an abundant number, since it is smaller than the sum of its proper divisors (15472192988).

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

7851753252 is a wasteful number, since it uses less digits than its factorization.

7851753252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26578 (or 26570 counting only the distinct ones).

The product of its digits is 588000, while the sum is 45.

The square root of 7851753252 is about 88610.1193543943. The cubic root of 7851753252 is about 1987.5689995269.

It can be divided in two parts, 78517 and 53252, that added together give a square (131769 = 363²).

The spelling of 7851753252 in words is "seven billion, eight hundred fifty-one million, seven hundred fifty-three thousand, two hundred fifty-two".