752387668011101 has 2 divisors, whose sum is σ = 752387668011102. Its totient is φ = 752387668011100.

The previous prime is 752387668011041. The next prime is 752387668011121. The reversal of 752387668011101 is 101110866783257.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 742108584388900 + 10279083622201 = 27241670^2 + 3206101^2 .

It is an emirp because it is prime and its reverse (101110866783257) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 752387668011101 - 2⁴² = 747989621499997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (752387668011121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 376193834005550 + 376193834005551.

It is an arithmetic number, because the mean of its divisors is an integer number (376193834005551).

Almost surely, 2^{752387668011101} is an apocalyptic number.

It is an amenable number.

752387668011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

752387668011101 is an equidigital number, since it uses as much as digits as its factorization.

752387668011101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3386880, while the sum is 56.

The spelling of 752387668011101 in words is "seven hundred fifty-two trillion, three hundred eighty-seven billion, six hundred sixty-eight million, eleven thousand, one hundred one".