783977532001 has 2 divisors, whose sum is σ = 783977532002. Its totient is φ = 783977532000.

The previous prime is 783977531989. The next prime is 783977532053. The reversal of 783977532001 is 100235779387.

It is an a-pointer prime, because the next prime (783977532053) can be obtained adding 783977532001 to its sum of digits (52).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 700696229776 + 83281302225 = 837076^2 + 288585^2 .

It is a cyclic number.

It is not a de Polignac number, because 783977532001 - 2¹¹ = 783977529953 is a prime.

It is a super-2 number, since 2×783977532001² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 783977532001.

It is not a weakly prime, because it can be changed into another prime (783977532301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 391988766000 + 391988766001.

It is an arithmetic number, because the mean of its divisors is an integer number (391988766001).

Almost surely, 2^783977532001 is an apocalyptic number.

It is an amenable number.

783977532001 is a deficient number, since it is larger than the sum of its proper divisors (1).

783977532001 is an equidigital number, since it uses as much as digits as its factorization.

783977532001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2222640, while the sum is 52.

The spelling of 783977532001 in words is "seven hundred eighty-three billion, nine hundred seventy-seven million, five hundred thirty-two thousand, one".