1013727000 has 512 divisors, whose sum is σ = 3962649600. Its totient is φ = 211968000.

The previous prime is 1013726993. The next prime is 1013727019. The reversal of 1013727000 is 7273101.

1013727000 = 163² + 164² + ... + 1449².

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7292931 + ... + 7293069.

It is an arithmetic number, because the mean of its divisors is an integer number (7739550).

Almost surely, 2^1013727000 is an apocalyptic number.

1013727000 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 1013727000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981324800).

1013727000 is an abundant number, since it is smaller than the sum of its proper divisors (2948922600).

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

1013727000 is a wasteful number, since it uses less digits than its factorization.

1013727000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 1013727000 is about 31839.0797605710. The cubic root of 1013727000 is about 1004.5548881604.

The spelling of 1013727000 in words is "one billion, thirteen million, seven hundred twenty-seven thousand".