1263084061 has 8 divisors (see below), whose sum is σ = 1272080504. Its totient is φ = 1254113280.

The previous prime is 1263084047. The next prime is 1263084073. The reversal of 1263084061 is 1604803621.

1263084061 = 25130² + 25131².

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13461561 + 1249622500 = 3669^2 + 35350^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 7-Lehmer number, since φ(1263084061) divides (1263084061-1)⁷.

It is a cyclic number.

It is not a de Polignac number, because 1263084061 - 2²⁵ = 1229529629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1263084001) 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 in 7 ways as a sum of consecutive naturals, for example, 98365 + ... + 110461.

It is an arithmetic number, because the mean of its divisors is an integer number (159010063).

Almost surely, 2^1263084061 is an apocalyptic number.

1263084061 is the 25131-st centered square number.

It is an amenable number.

1263084061 is a deficient number, since it is larger than the sum of its proper divisors (8996443).

1263084061 is a wasteful number, since it uses less digits than its factorization.

1263084061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12831.

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 1263084061 is about 35539.8939362514. The cubic root of 1263084061 is about 1080.9628076794.

Adding to 1263084061 its reverse (1604803621), we get a palindrome (2867887682).

The spelling of 1263084061 in words is "one billion, two hundred sixty-three million, eighty-four thousand, sixty-one".