5245311456 has 576 divisors, whose sum is σ = 20001945600. Its totient is φ = 1262822400.

The previous prime is 5245311443. The next prime is 5245311469. The reversal of 5245311456 is 6541135425.

It is an interprime number because it is at equal distance from previous prime (5245311443) and next prime (5245311469).

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 5245311456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24859191 + ... + 24859401.

It is an arithmetic number, because the mean of its divisors is an integer number (34725600).

Almost surely, 2^5245311456 is an apocalyptic number.

5245311456 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 5245311456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10000972800).

5245311456 is an abundant number, since it is smaller than the sum of its proper divisors (14756634144).

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

5245311456 is a wasteful number, since it uses less digits than its factorization.

5245311456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 312 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 5245311456 is about 72424.5224768517. The cubic root of 5245311456 is about 1737.4957872748.

The spelling of 5245311456 in words is "five billion, two hundred forty-five million, three hundred eleven thousand, four hundred fifty-six".