1013575680 has 520 divisors, whose sum is σ = 3996159552. Its totient is φ = 244187136.

The previous prime is 1013575679. The next prime is 1013575681. The reversal of 1013575680 is 865753101.

1013575680 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 575 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1013575679) and next prime (1013575681).

It is a tau number, because it is divible by the number of its divisors (520).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013575681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21565417 + ... + 21565463.

Almost surely, 2^1013575680 is an apocalyptic number.

1013575680 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 1013575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998079776).

1013575680 is an abundant number, since it is smaller than the sum of its proper divisors (2982583872).

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

1013575680 is an equidigital number, since it uses as much as digits as its factorization.

1013575680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 1013575680 is about 31836.7033469233. The cubic root of 1013575680 is about 1004.5049020498.

The spelling of 1013575680 in words is "one billion, thirteen million, five hundred seventy-five thousand, six hundred eighty".