47882510025733 has 2 divisors, whose sum is σ = 47882510025734. Its totient is φ = 47882510025732.

The previous prime is 47882510025677. The next prime is 47882510025739. The reversal of 47882510025733 is 33752001528874.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47594310692769 + 288199332964 = 6898863^2 + 536842^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-47882510025733 is a prime.

It is a super-3 number, since 3×47882510025733³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (47882510025739) by changing a digit.

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 as a sum of consecutive naturals, namely, 23941255012866 + 23941255012867.

It is an arithmetic number, because the mean of its divisors is an integer number (23941255012867).

Almost surely, 2^{47882510025733} is an apocalyptic number.

It is an amenable number.

47882510025733 is a deficient number, since it is larger than the sum of its proper divisors (1).

47882510025733 is an equidigital number, since it uses as much as digits as its factorization.

47882510025733 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11289600, while the sum is 55.

The spelling of 47882510025733 in words is "forty-seven trillion, eight hundred eighty-two billion, five hundred ten million, twenty-five thousand, seven hundred thirty-three".