1005427561 has 2 divisors, whose sum is σ = 1005427562. Its totient is φ = 1005427560.

The previous prime is 1005427547. The next prime is 1005427573. The reversal of 1005427561 is 1657245001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 877285161 + 128142400 = 29619^2 + 11320^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005427561 - 2¹¹ = 1005425513 is a prime.

It is not a weakly prime, because it can be changed into another prime (1005424561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502713780 + 502713781.

It is an arithmetic number, because the mean of its divisors is an integer number (502713781).

Almost surely, 2^1005427561 is an apocalyptic number.

It is an amenable number.

1005427561 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005427561 is an equidigital number, since it uses as much as digits as its factorization.

1005427561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 1005427561 is about 31708.4777464955. The cubic root of 1005427561 is about 1001.8059236764.

The spelling of 1005427561 in words is "one billion, five million, four hundred twenty-seven thousand, five hundred sixty-one".