7777752525313 has 2 divisors, whose sum is σ = 7777752525314. Its totient is φ = 7777752525312.

The previous prime is 7777752525247. The next prime is 7777752525331. The reversal of 7777752525313 is 3135252577777.

Together with next prime (7777752525331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5982857296144 + 1794895229169 = 2445988^2 + 1339737^2 .

It is a cyclic number.

It is not a de Polignac number, because 7777752525313 - 2¹³ = 7777752517121 is a prime.

It is not a weakly prime, because it can be changed into another prime (7777752535313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3888876262656 + 3888876262657.

It is an arithmetic number, because the mean of its divisors is an integer number (3888876262657).

Almost surely, 2^{7777752525313} is an apocalyptic number.

It is an amenable number.

7777752525313 is a deficient number, since it is larger than the sum of its proper divisors (1).

7777752525313 is an equidigital number, since it uses as much as digits as its factorization.

7777752525313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 75631500, while the sum is 61.

The spelling of 7777752525313 in words is "seven trillion, seven hundred seventy-seven billion, seven hundred fifty-two million, five hundred twenty-five thousand, three hundred thirteen".