1008634081 has 27 divisors (see below), whose sum is σ = 1274157081. Its totient is φ = 795753504.

The previous prime is 1008634079. The next prime is 1008634091. The reversal of 1008634081 is 1804368001.

The square root of 1008634081 is 31759.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 21669025 + 986965056 = 4655^2 + 31416^2 .

It is not a de Polignac number, because 1008634081 - 2¹ = 1008634079 is a prime.

It is a super-2 number, since 2×1008634081² = 2034685418709429122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1008634031) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2889895 + ... + 2890243.

It is an arithmetic number, because the mean of its divisors is an integer number (47191003).

Almost surely, 2^1008634081 is an apocalyptic number.

1008634081 is the 31759-th square number.

1008634081 is the 15880-th centered octagonal number.

It is an amenable number.

1008634081 is a deficient number, since it is larger than the sum of its proper divisors (265523000).

1008634081 is an frugal number, since it uses more digits than its factorization.

1008634081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The cubic root of 1008634081 is about 1002.8697834647.

The spelling of 1008634081 in words is "one billion, eight million, six hundred thirty-four thousand, eighty-one".