1611151001657 has 2 divisors, whose sum is σ = 1611151001658. Its totient is φ = 1611151001656.

The previous prime is 1611151001651. The next prime is 1611151001689. The reversal of 1611151001657 is 7561001511161.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1424957888656 + 186193113001 = 1193716^2 + 431501^2 .

It is a cyclic number.

It is not a de Polignac number, because 1611151001657 - 2⁸ = 1611151001401 is a prime.

It is not a weakly prime, because it can be changed into another prime (1611151001651) 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, 805575500828 + 805575500829.

It is an arithmetic number, because the mean of its divisors is an integer number (805575500829).

Almost surely, 2^{1611151001657} is an apocalyptic number.

It is an amenable number.

1611151001657 is a deficient number, since it is larger than the sum of its proper divisors (1).

1611151001657 is an equidigital number, since it uses as much as digits as its factorization.

1611151001657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6300, while the sum is 35.

The spelling of 1611151001657 in words is "one trillion, six hundred eleven billion, one hundred fifty-one million, one thousand, six hundred fifty-seven".