1017061561 has 2 divisors, whose sum is σ = 1017061562. Its totient is φ = 1017061560.

The previous prime is 1017061459. The next prime is 1017061571. The reversal of 1017061561 is 1651607101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 881199225 + 135862336 = 29685^2 + 11656^2 .

It is a cyclic number.

It is not a de Polignac number, because 1017061561 - 2¹¹ = 1017059513 is a prime.

It is not a weakly prime, because it can be changed into another prime (1017061571) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 508530780 + 508530781.

It is an arithmetic number, because the mean of its divisors is an integer number (508530781).

Almost surely, 2^1017061561 is an apocalyptic number.

It is an amenable number.

1017061561 is a deficient number, since it is larger than the sum of its proper divisors (1).

1017061561 is an equidigital number, since it uses as much as digits as its factorization.

1017061561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1260, while the sum is 28.

The square root of 1017061561 is about 31891.4026188877. The cubic root of 1017061561 is about 1005.6551460382.

Adding to 1017061561 its reverse (1651607101), we get a palindrome (2668668662).

The spelling of 1017061561 in words is "one billion, seventeen million, sixty-one thousand, five hundred sixty-one".