7251033409 has 9 divisors (see below), whose sum is σ = 7704192937. Its totient is φ = 6823139584.

The previous prime is 7251033359. The next prime is 7251033431. The reversal of 7251033409 is 9043301527.

The square root of 7251033409 is 85153.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 506025025 + 6745008384 = 22495^2 + 82128^2 .

It is not a de Polignac number, because 7251033409 - 2⁷ = 7251033281 is a prime.

It is a super-2 number, since 2×7251033409² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7251034409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1445097 + ... + 1450105.

Almost surely, 2^7251033409 is an apocalyptic number.

7251033409 is the 85153-rd square number.

7251033409 is the 42577-th centered octagonal number.

It is an amenable number.

7251033409 is a deficient number, since it is larger than the sum of its proper divisors (453159528).

7251033409 is an frugal number, since it uses more digits than its factorization.

7251033409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10052 (or 5026 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The cubic root of 7251033409 is about 1935.5302745372.

The spelling of 7251033409 in words is "seven billion, two hundred fifty-one million, thirty-three thousand, four hundred nine".