1261925742 has 256 divisors, whose sum is σ = 3535405056. Its totient is φ = 290304000.

The previous prime is 1261925741. The next prime is 1261925761. The reversal of 1261925742 is 2475291621.

It is a self number, because there is not a number n which added to its sum of digits gives 1261925742.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261925741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17286618 + ... + 17286690.

It is an arithmetic number, because the mean of its divisors is an integer number (13810176).

Almost surely, 2^1261925742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1261925742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767702528).

1261925742 is an abundant number, since it is smaller than the sum of its proper divisors (2273479314).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1261925742 is a wasteful number, since it uses less digits than its factorization.

1261925742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215.

The product of its digits is 60480, while the sum is 39.

The square root of 1261925742 is about 35523.5941593753. The cubic root of 1261925742 is about 1080.6322720905.

The spelling of 1261925742 in words is "one billion, two hundred sixty-one million, nine hundred twenty-five thousand, seven hundred forty-two".