9002561 has 8 divisors (see below), whose sum is σ = 9528000. Its totient is φ = 8482320.

The previous prime is 9002549. The next prime is 9002569. The reversal of 9002561 is 1652009.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9002561 - 2²² = 4808257 is a prime.

It is a super-2 number, since 2×9002561² = 162092209117442, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9002569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2591 + ... + 4971.

It is an arithmetic number, because the mean of its divisors is an integer number (1191000).

Almost surely, 2^9002561 is an apocalyptic number.

It is an amenable number.

9002561 is a deficient number, since it is larger than the sum of its proper divisors (525439).

9002561 is a wasteful number, since it uses less digits than its factorization.

9002561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599.

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 9002561 is about 3000.4268029732. The cubic root of 9002561 is about 208.0281104143.

The spelling of 9002561 in words is "nine million, two thousand, five hundred sixty-one".