1261054125 has 48 divisors (see below), whose sum is σ = 2351709360. Its totient is φ = 649353600.

The previous prime is 1261054057. The next prime is 1261054147. The reversal of 1261054125 is 5214501621.

1261054125 is a `hidden beast` number, since 1 + 2 + 610 + 5 + 41 + 2 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 696801609 + 564252516 = 26397^2 + 23754^2 .

It is not a de Polignac number, because 1261054125 - 2⁹ = 1261053613 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13299 + ... + 51951.

It is an arithmetic number, because the mean of its divisors is an integer number (48993945).

Almost surely, 2^1261054125 is an apocalyptic number.

1261054125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1261054125 is a deficient number, since it is larger than the sum of its proper divisors (1090655235).

1261054125 is a wasteful number, since it uses less digits than its factorization.

1261054125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38703 (or 38690 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1261054125 is about 35511.3238981596. The cubic root of 1261054125 is about 1080.3834158204.

Adding to 1261054125 its reverse (5214501621), we get a palindrome (6475555746).

The spelling of 1261054125 in words is "one billion, two hundred sixty-one million, fifty-four thousand, one hundred twenty-five".