1261633125 has 20 divisors (see below), whose sum is σ = 2102052128. Its totient is φ = 672870000.

The previous prime is 1261633123. The next prime is 1261633127. The reversal of 1261633125 is 5213361621.

It is an interprime number because it is at equal distance from previous prime (1261633123) and next prime (1261633127).

It is not a de Polignac number, because 1261633125 - 2¹ = 1261633123 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1261633092 and 1261633101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261633123) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 334561 + ... + 338310.

Almost surely, 2^1261633125 is an apocalyptic number.

1261633125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1261633125 is a deficient number, since it is larger than the sum of its proper divisors (840419003).

1261633125 is an frugal number, since it uses more digits than its factorization.

1261633125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672894 (or 672879 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 1261633125 is about 35519.4752917326. The cubic root of 1261633125 is about 1080.5487394896.

Adding to 1261633125 its reverse (5213361621), we get a palindrome (6474994746).

The spelling of 1261633125 in words is "one billion, two hundred sixty-one million, six hundred thirty-three thousand, one hundred twenty-five".