3758657520001 has 2 divisors, whose sum is σ = 3758657520002. Its totient is φ = 3758657520000.

The previous prime is 3758657519893. The next prime is 3758657520041. The reversal of 3758657520001 is 1000257568573.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3614865638400 + 143791881601 = 1901280^2 + 379199^2 .

It is a cyclic number.

It is not a de Polignac number, because 3758657520001 - 2⁹ = 3758657519489 is a prime.

It is not a weakly prime, because it can be changed into another prime (3758657520041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1879328760000 + 1879328760001.

It is an arithmetic number, because the mean of its divisors is an integer number (1879328760001).

Almost surely, 2^{3758657520001} is an apocalyptic number.

It is an amenable number.

3758657520001 is a deficient number, since it is larger than the sum of its proper divisors (1).

3758657520001 is an equidigital number, since it uses as much as digits as its factorization.

3758657520001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764000, while the sum is 49.

The spelling of 3758657520001 in words is "three trillion, seven hundred fifty-eight billion, six hundred fifty-seven million, five hundred twenty thousand, one".