1002626561 has 32 divisors (see below), whose sum is σ = 1146712320. Its totient is φ = 870912000.

The previous prime is 1002626549. The next prime is 1002626567. The reversal of 1002626561 is 1656262001.

1002626561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1002626561 - 2¹⁰ = 1002625537 is a prime.

It is a super-3 number, since 3×1002626561³ (a number of 28 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1002626567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2974985 + ... + 2975321.

It is an arithmetic number, because the mean of its divisors is an integer number (35834760).

Almost surely, 2^1002626561 is an apocalyptic number.

It is an amenable number.

1002626561 is a deficient number, since it is larger than the sum of its proper divisors (144085759).

1002626561 is a wasteful number, since it uses less digits than its factorization.

1002626561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 1002626561 is about 31664.2789433140. The cubic root of 1002626561 is about 1000.8747549141.

Adding to 1002626561 its reverse (1656262001), we get a palindrome (2658888562).

The spelling of 1002626561 in words is "one billion, two million, six hundred twenty-six thousand, five hundred sixty-one".