8257624649 has 2 divisors, whose sum is σ = 8257624650. Its totient is φ = 8257624648.

The previous prime is 8257624621. The next prime is 8257624733. The reversal of 8257624649 is 9464267528.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7311447049 + 946177600 = 85507^2 + 30760^2 .

It is a cyclic number.

It is not a de Polignac number, because 8257624649 - 2¹⁶ = 8257559113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8257624649.

It is not a weakly prime, because it can be changed into another prime (8257624619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4128812324 + 4128812325.

It is an arithmetic number, because the mean of its divisors is an integer number (4128812325).

Almost surely, 2^8257624649 is an apocalyptic number.

It is an amenable number.

8257624649 is a deficient number, since it is larger than the sum of its proper divisors (1).

8257624649 is an equidigital number, since it uses as much as digits as its factorization.

8257624649 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5806080, while the sum is 53.

The square root of 8257624649 is about 90871.4732410562. The cubic root of 8257624649 is about 2021.2423042320.

The spelling of 8257624649 in words is "eight billion, two hundred fifty-seven million, six hundred twenty-four thousand, six hundred forty-nine".