73777027012333 has 2 divisors, whose sum is σ = 73777027012334. Its totient is φ = 73777027012332.

The previous prime is 73777027012331. The next prime is 73777027012373. The reversal of 73777027012333 is 33321072077737.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55560878642889 + 18216148369444 = 7453917^2 + 4268038^2 .

It is a cyclic number.

It is not a de Polignac number, because 73777027012333 - 2¹ = 73777027012331 is a prime.

It is a super-3 number, since 3×73777027012333³ (a number of 43 digits) contains 333 as substring.

Together with 73777027012331, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (73777027012331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36888513506166 + 36888513506167.

It is an arithmetic number, because the mean of its divisors is an integer number (36888513506167).

Almost surely, 2^{73777027012333} is an apocalyptic number.

It is an amenable number.

73777027012333 is a deficient number, since it is larger than the sum of its proper divisors (1).

73777027012333 is an equidigital number, since it uses as much as digits as its factorization.

73777027012333 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5445468, while the sum is 52.

The spelling of 73777027012333 in words is "seventy-three trillion, seven hundred seventy-seven billion, twenty-seven million, twelve thousand, three hundred thirty-three".