1001616120737 has 2 divisors, whose sum is σ = 1001616120738. Its totient is φ = 1001616120736.

The previous prime is 1001616120691. The next prime is 1001616120761. The reversal of 1001616120737 is 7370216161001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 619186429456 + 382429691281 = 786884^2 + 618409^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001616120737 - 2²⁸ = 1001347685281 is a prime.

It is a super-2 number, since 2×1001616120737² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001616120697 and 1001616120706.

It is not a weakly prime, because it can be changed into another prime (1001616150737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500808060368 + 500808060369.

It is an arithmetic number, because the mean of its divisors is an integer number (500808060369).

Almost surely, 2^{1001616120737} is an apocalyptic number.

It is an amenable number.

1001616120737 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001616120737 is an equidigital number, since it uses as much as digits as its factorization.

1001616120737 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 35.

The spelling of 1001616120737 in words is "one trillion, one billion, six hundred sixteen million, one hundred twenty thousand, seven hundred thirty-seven".