5273463301248 has 256 divisors, whose sum is σ = 14860099296000. Its totient is φ = 1654025748480.

The previous prime is 5273463301229. The next prime is 5273463301261. The reversal of 5273463301248 is 8421033643725.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 5273463301197 and 5273463301206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 460679461 + ... + 460690907.

It is an arithmetic number, because the mean of its divisors is an integer number (58047262875).

Almost surely, 2^{5273463301248} is an apocalyptic number.

5273463301248 is a gapful number since it is divisible by the number (58) 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 5273463301248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7430049648000).

5273463301248 is an abundant number, since it is smaller than the sum of its proper divisors (9586635994752).

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

5273463301248 is a wasteful number, since it uses less digits than its factorization.

5273463301248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12543 (or 12531 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 5273463301248 in words is "five trillion, two hundred seventy-three billion, four hundred sixty-three million, three hundred one thousand, two hundred forty-eight".