7835825678753 has 2 divisors, whose sum is σ = 7835825678754. Its totient is φ = 7835825678752.

The previous prime is 7835825678731. The next prime is 7835825678761. The reversal of 7835825678753 is 3578765285387.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6373438537489 + 1462387141264 = 2524567^2 + 1209292^2 .

It is a cyclic number.

It is not a de Polignac number, because 7835825678753 - 2⁸ = 7835825678497 is a prime.

It is a super-2 number, since 2×7835825678753² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (7835825675753) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3917912839376 + 3917912839377.

It is an arithmetic number, because the mean of its divisors is an integer number (3917912839377).

Almost surely, 2^{7835825678753} is an apocalyptic number.

It is an amenable number.

7835825678753 is a deficient number, since it is larger than the sum of its proper divisors (1).

7835825678753 is an equidigital number, since it uses as much as digits as its factorization.

7835825678753 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2370816000, while the sum is 74.

The spelling of 7835825678753 in words is "seven trillion, eight hundred thirty-five billion, eight hundred twenty-five million, six hundred seventy-eight thousand, seven hundred fifty-three".