7038540953 has 2 divisors, whose sum is σ = 7038540954. Its totient is φ = 7038540952.

The previous prime is 7038540893. The next prime is 7038540989. The reversal of 7038540953 is 3590458307.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4350325849 + 2688215104 = 65957^2 + 51848^2 .

It is a cyclic number.

It is not a de Polignac number, because 7038540953 - 2²⁰ = 7037492377 is a prime.

It is a super-3 number, since 3×7038540953³ (a number of 31 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (7038546953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3519270476 + 3519270477.

It is an arithmetic number, because the mean of its divisors is an integer number (3519270477).

Almost surely, 2^7038540953 is an apocalyptic number.

It is an amenable number.

7038540953 is a deficient number, since it is larger than the sum of its proper divisors (1).

7038540953 is an equidigital number, since it uses as much as digits as its factorization.

7038540953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 453600, while the sum is 44.

The square root of 7038540953 is about 83896.0127360055. The cubic root of 7038540953 is about 1916.4355301399.

The spelling of 7038540953 in words is "seven billion, thirty-eight million, five hundred forty thousand, nine hundred fifty-three".