9965629601 has 2 divisors, whose sum is σ = 9965629602. Its totient is φ = 9965629600.

The previous prime is 9965629579. The next prime is 9965629621. The reversal of 9965629601 is 1069265699.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9901245025 + 64384576 = 99505^2 + 8024^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9965629601 is a prime.

It is not a weakly prime, because it can be changed into another prime (9965629621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4982814800 + 4982814801.

It is an arithmetic number, because the mean of its divisors is an integer number (4982814801).

Almost surely, 2^9965629601 is an apocalyptic number.

It is an amenable number.

9965629601 is a deficient number, since it is larger than the sum of its proper divisors (1).

9965629601 is an equidigital number, since it uses as much as digits as its factorization.

9965629601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1574640, while the sum is 53.

The square root of 9965629601 is about 99828.0000851465. Note that the first 4 decimals coincide. The cubic root of 9965629601 is about 2151.9635640824.

The spelling of 9965629601 in words is "nine billion, nine hundred sixty-five million, six hundred twenty-nine thousand, six hundred one".