5102756256 has 144 divisors (see below), whose sum is σ = 14560850304. Its totient is φ = 1563973632.

The previous prime is 5102756249. The next prime is 5102756257. The reversal of 5102756256 is 6526572015.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (5102756257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5953780 + ... + 5954636.

It is an arithmetic number, because the mean of its divisors is an integer number (101117016).

Almost surely, 2^5102756256 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 5102756256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7280425152).

5102756256 is an abundant number, since it is smaller than the sum of its proper divisors (9458094048).

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

5102756256 is a wasteful number, since it uses less digits than its factorization.

5102756256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 5102756256 is about 71433.5793307321. The cubic root of 5102756256 is about 1721.6106528007.

The spelling of 5102756256 in words is "five billion, one hundred two million, seven hundred fifty-six thousand, two hundred fifty-six".