1013763000 has 128 divisors (see below), whose sum is σ = 3248781120. Its totient is φ = 263001600.

The previous prime is 1013762987. The next prime is 1013763011. The reversal of 1013763000 is 3673101.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 106434 + ... + 115566.

Almost surely, 2^1013763000 is an apocalyptic number.

1013763000 is a gapful number since it is divisible by the number (10) 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 1013763000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624390560).

1013763000 is an abundant number, since it is smaller than the sum of its proper divisors (2235018120).

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

1013763000 is a wasteful number, since it uses less digits than its factorization.

1013763000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9194 (or 9180 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 1013763000 is about 31839.6450985246. The cubic root of 1013763000 is about 1004.5667794447.

It can be divided in two parts, 10137 and 63000, that added together give a palindrome (73137).

The spelling of 1013763000 in words is "one billion, thirteen million, seven hundred sixty-three thousand".