1255095972 has 168 divisors, whose sum is σ = 3590032824. Its totient is φ = 381459456.

The previous prime is 1255095971. The next prime is 1255095991. The reversal of 1255095972 is 2795905521.

1255095972 is a `hidden beast` number, since 1 + 2 + 5 + 50 + 9 + 597 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26873856 + 1228222116 = 5184^2 + 35046^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1255095971) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 4283458 + ... + 4283750.

It is an arithmetic number, because the mean of its divisors is an integer number (21369243).

Almost surely, 2^1255095972 is an apocalyptic number.

1255095972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1255095972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795016412).

1255095972 is an abundant number, since it is smaller than the sum of its proper divisors (2334936852).

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

1255095972 is a wasteful number, since it uses less digits than its factorization.

1255095972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The square root of 1255095972 is about 35427.3336846001. Note that the first 3 decimals coincide. The cubic root of 1255095972 is about 1078.6792187482.

The spelling of 1255095972 in words is "one billion, two hundred fifty-five million, ninety-five thousand, nine hundred seventy-two".