1008780253 has 18 divisors (see below), whose sum is σ = 1138639166. Its totient is φ = 888370032.

The previous prime is 1008780251. The next prime is 1008780287. The reversal of 1008780253 is 3520878001.

1008780253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 698386329 + 310393924 = 26427^2 + 17618^2 .

It is not a de Polignac number, because 1008780253 - 2¹ = 1008780251 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008780251) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2633700 + ... + 2634082.

Almost surely, 2^1008780253 is an apocalyptic number.

1008780253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1008780253 is a deficient number, since it is larger than the sum of its proper divisors (129858913).

1008780253 is an frugal number, since it uses more digits than its factorization.

1008780253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 1008780253 is about 31761.3011855623. The cubic root of 1008780253 is about 1002.9182266692.

The spelling of 1008780253 in words is "one billion, eight million, seven hundred eighty thousand, two hundred fifty-three".