3641687351257 has 2 divisors, whose sum is σ = 3641687351258. Its totient is φ = 3641687351256.

The previous prime is 3641687351171. The next prime is 3641687351347. The reversal of 3641687351257 is 7521537861463.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2808828513936 + 832858837321 = 1675956^2 + 912611^2 .

It is a cyclic number.

It is not a de Polignac number, because 3641687351257 - 2³⁹ = 3091931537369 is a prime.

It is not a weakly prime, because it can be changed into another prime (3641687351657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1820843675628 + 1820843675629.

It is an arithmetic number, because the mean of its divisors is an integer number (1820843675629).

Almost surely, 2^{3641687351257} is an apocalyptic number.

It is an amenable number.

3641687351257 is a deficient number, since it is larger than the sum of its proper divisors (1).

3641687351257 is an equidigital number, since it uses as much as digits as its factorization.

3641687351257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 25401600, while the sum is 58.

The spelling of 3641687351257 in words is "three trillion, six hundred forty-one billion, six hundred eighty-seven million, three hundred fifty-one thousand, two hundred fifty-seven".