7008201257 has 2 divisors, whose sum is σ = 7008201258. Its totient is φ = 7008201256.

The previous prime is 7008201253. The next prime is 7008201283. The reversal of 7008201257 is 7521028007.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6752073241 + 256128016 = 82171^2 + 16004^2 .

It is an emirp because it is prime and its reverse (7521028007) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7008201257 - 2² = 7008201253 is a prime.

It is a super-2 number, since 2×7008201257² = 98229769717232760098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (7008201253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3504100628 + 3504100629.

It is an arithmetic number, because the mean of its divisors is an integer number (3504100629).

Almost surely, 2^7008201257 is an apocalyptic number.

It is an amenable number.

7008201257 is a deficient number, since it is larger than the sum of its proper divisors (1).

7008201257 is an equidigital number, since it uses as much as digits as its factorization.

7008201257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7840, while the sum is 32.

The square root of 7008201257 is about 83715.0001911246. Note that the first 3 decimals coincide. The cubic root of 7008201257 is about 1913.6779597884.

Subtracting from 7008201257 its sum of digits (32), we obtain a square (7008201225 = 83715²).

The spelling of 7008201257 in words is "seven billion, eight million, two hundred one thousand, two hundred fifty-seven".