9972250313 has 2 divisors, whose sum is σ = 9972250314. Its totient is φ = 9972250312.

The previous prime is 9972250291. The next prime is 9972250361. The reversal of 9972250313 is 3130522799.

9972250313 = 70612² + 70613².

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., 4986195769 + 4986054544 = 70613^2 + 70612^2 .

It is an emirp because it is prime and its reverse (3130522799) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9972250313 - 2²² = 9968056009 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (9972256313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4986125156 + 4986125157.

It is an arithmetic number, because the mean of its divisors is an integer number (4986125157).

Almost surely, 2^9972250313 is an apocalyptic number.

9972250313 is the 70613-rd centered square number.

It is an amenable number.

9972250313 is a deficient number, since it is larger than the sum of its proper divisors (1).

9972250313 is an equidigital number, since it uses as much as digits as its factorization.

9972250313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 102060, while the sum is 41.

The square root of 9972250313 is about 99861.1551755737. The cubic root of 9972250313 is about 2152.4400142279.

The spelling of 9972250313 in words is "nine billion, nine hundred seventy-two million, two hundred fifty thousand, three hundred thirteen".