1461757097 has 2 divisors, whose sum is σ = 1461757098. Its totient is φ = 1461757096.

The previous prime is 1461757069. The next prime is 1461757109. The reversal of 1461757097 is 7907571641.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 903663721 + 558093376 = 30061^2 + 23624^2 .

It is a cyclic number.

It is not a de Polignac number, because 1461757097 - 2¹⁰ = 1461756073 is a prime.

It is not a weakly prime, because it can be changed into another prime (1461757027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 730878548 + 730878549.

It is an arithmetic number, because the mean of its divisors is an integer number (730878549).

Almost surely, 2^1461757097 is an apocalyptic number.

It is an amenable number.

1461757097 is a deficient number, since it is larger than the sum of its proper divisors (1).

1461757097 is an equidigital number, since it uses as much as digits as its factorization.

1461757097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 370440, while the sum is 47.

The square root of 1461757097 is about 38232.9321004811. The cubic root of 1461757097 is about 1134.9021106233.

The spelling of 1461757097 in words is "one billion, four hundred sixty-one million, seven hundred fifty-seven thousand, ninety-seven".