1036125261 has 12 divisors (see below), whose sum is σ = 1497032160. Its totient is φ = 690562440.

The previous prime is 1036125203. The next prime is 1036125263. The reversal of 1036125261 is 1625216301.

It is not a de Polignac number, because 1036125261 - 2⁷ = 1036125133 is a prime.

It is a super-3 number, since 3×1036125261³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1036125263) 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 11 ways as a sum of consecutive naturals, for example, 24816 + ... + 51846.

It is an arithmetic number, because the mean of its divisors is an integer number (124752680).

Almost surely, 2^1036125261 is an apocalyptic number.

It is an amenable number.

1036125261 is a deficient number, since it is larger than the sum of its proper divisors (460906899).

1036125261 is a wasteful number, since it uses less digits than its factorization.

1036125261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31296 (or 31293 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1036125261 is about 32188.8996550053. The cubic root of 1036125261 is about 1011.8995917217.

The spelling of 1036125261 in words is "one billion, thirty-six million, one hundred twenty-five thousand, two hundred sixty-one".