1006801521937 has 2 divisors, whose sum is σ = 1006801521938. Its totient is φ = 1006801521936.

The previous prime is 1006801521907. The next prime is 1006801521961. The reversal of 1006801521937 is 7391251086001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 757037466241 + 249764055696 = 870079^2 + 499764^2 .

It is an emirp because it is prime and its reverse (7391251086001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1006801521937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1006801521893 and 1006801521902.

It is not a weakly prime, because it can be changed into another prime (1006801521907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503400760968 + 503400760969.

It is an arithmetic number, because the mean of its divisors is an integer number (503400760969).

Almost surely, 2^{1006801521937} is an apocalyptic number.

It is an amenable number.

1006801521937 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006801521937 is an equidigital number, since it uses as much as digits as its factorization.

1006801521937 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90720, while the sum is 43.

The spelling of 1006801521937 in words is "one trillion, six billion, eight hundred one million, five hundred twenty-one thousand, nine hundred thirty-seven".