1013125261 has 2 divisors, whose sum is σ = 1013125262. Its totient is φ = 1013125260.

The previous prime is 1013125147. The next prime is 1013125273. The reversal of 1013125261 is 1625213101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 862596900 + 150528361 = 29370^2 + 12269^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013125261 - 2¹¹ = 1013123213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1013125361) 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, 506562630 + 506562631.

It is an arithmetic number, because the mean of its divisors is an integer number (506562631).

Almost surely, 2^1013125261 is an apocalyptic number.

It is an amenable number.

1013125261 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013125261 is an equidigital number, since it uses as much as digits as its factorization.

1013125261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 1013125261 is about 31829.6286657573. The cubic root of 1013125261 is about 1004.3560839795.

Adding to 1013125261 its reverse (1625213101), we get a palindrome (2638338362).

The spelling of 1013125261 in words is "one billion, thirteen million, one hundred twenty-five thousand, two hundred sixty-one".