5102553456 has 540 divisors, whose sum is σ = 19673283240. Its totient is φ = 1220244480.

The previous prime is 5102553433. The next prime is 5102553457. The reversal of 5102553456 is 6543552015.

5102553456 is a `hidden beast` number, since 51 + 0 + 2 + 553 + 4 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5102553456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5102553457) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13116910 + ... + 13117298.

It is an arithmetic number, because the mean of its divisors is an integer number (36432006).

Almost surely, 2^5102553456 is an apocalyptic number.

5102553456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5102553456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9836641620).

5102553456 is an abundant number, since it is smaller than the sum of its proper divisors (14570729784).

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

5102553456 is a wasteful number, since it uses less digits than its factorization.

5102553456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 5102553456 is about 71432.1598161500. The cubic root of 5102553456 is about 1721.5878450443.

The spelling of 5102553456 in words is "five billion, one hundred two million, five hundred fifty-three thousand, four hundred fifty-six".