1261376125 has 32 divisors (see below), whose sum is σ = 1609002720. Its totient is φ = 987033600.

The previous prime is 1261376113. The next prime is 1261376159. The reversal of 1261376125 is 5216731621.

It can be written as a sum of positive squares in 16 ways, for example, as 915304516 + 346071609 = 30254^2 + 18603^2 .

It is not a de Polignac number, because 1261376125 - 2¹⁷ = 1261245053 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1249621 + ... + 1250629.

It is an arithmetic number, because the mean of its divisors is an integer number (50281335).

Almost surely, 2^1261376125 is an apocalyptic number.

It is an amenable number.

1261376125 is a deficient number, since it is larger than the sum of its proper divisors (347626595).

1261376125 is a wasteful number, since it uses less digits than its factorization.

1261376125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1224 counting only the distinct ones).

The product of its digits is 15120, while the sum is 34.

The square root of 1261376125 is about 35515.8573738549. The cubic root of 1261376125 is about 1080.4753637253.

The spelling of 1261376125 in words is "one billion, two hundred sixty-one million, three hundred seventy-six thousand, one hundred twenty-five".