8213009757 has 16 divisors (see below), whose sum is σ = 11994661440. Its totient is φ = 4975561472.

The previous prime is 8213009731. The next prime is 8213009803. The reversal of 8213009757 is 7579003128.

It is a cyclic number.

It is not a de Polignac number, because 8213009757 - 2¹⁶ = 8212944221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8213009957) 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 in 15 ways as a sum of consecutive naturals, for example, 2775063 + ... + 2778020.

It is an arithmetic number, because the mean of its divisors is an integer number (749666340).

Almost surely, 2^8213009757 is an apocalyptic number.

8213009757 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

8213009757 is a deficient number, since it is larger than the sum of its proper divisors (3781651683).

8213009757 is a wasteful number, since it uses less digits than its factorization.

8213009757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5553132.

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 8213009757 is about 90625.6572776165. The cubic root of 8213009757 is about 2017.5955572944.

The spelling of 8213009757 in words is "eight billion, two hundred thirteen million, nine thousand, seven hundred fifty-seven".