7825413133 has 2 divisors, whose sum is σ = 7825413134. Its totient is φ = 7825413132.

The previous prime is 7825413109. The next prime is 7825413143. The reversal of 7825413133 is 3313145287.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5381396164 + 2444016969 = 73358^2 + 49437^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-7825413133 is a prime.

It is a super-2 number, since 2×7825413133² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7825413092 and 7825413101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7825413143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3912706566 + 3912706567.

It is an arithmetic number, because the mean of its divisors is an integer number (3912706567).

Almost surely, 2^7825413133 is an apocalyptic number.

It is an amenable number.

7825413133 is a deficient number, since it is larger than the sum of its proper divisors (1).

7825413133 is an equidigital number, since it uses as much as digits as its factorization.

7825413133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 60480, while the sum is 37.

The square root of 7825413133 is about 88461.3651997300. The cubic root of 7825413133 is about 1985.3439569606.

The spelling of 7825413133 in words is "seven billion, eight hundred twenty-five million, four hundred thirteen thousand, one hundred thirty-three".