1255773090 has 288 divisors, whose sum is σ = 3785201280. Its totient is φ = 265774080.

The previous prime is 1255773059. The next prime is 1255773091. The reversal of 1255773090 is 903775521.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1255773091) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14109766 + ... + 14109854.

It is an arithmetic number, because the mean of its divisors is an integer number (13143060).

Almost surely, 2^1255773090 is an apocalyptic number.

1255773090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1255773090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892600640).

1255773090 is an abundant number, since it is smaller than the sum of its proper divisors (2529428190).

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

1255773090 is a wasteful number, since it uses less digits than its factorization.

1255773090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 39.

The square root of 1255773090 is about 35436.8888307086. Note that the first 4 decimals coincide. The cubic root of 1255773090 is about 1078.8731645560.

The spelling of 1255773090 in words is "one billion, two hundred fifty-five million, seven hundred seventy-three thousand, ninety".