240020626561 has 9 divisors (see below), whose sum is σ = 240707984643. Its totient is φ = 239335229880.

The previous prime is 240020626493. The next prime is 240020626577. The reversal of 240020626561 is 165626020042.

The square root of 240020626561 is 489919.

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

It can be written as a sum of positive squares in only one way, i.e., 32029902961 + 207990723600 = 178969^2 + 456060^2 .

It is not a de Polignac number, because 240020626561 - 2²¹ = 240018529409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (240020626061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 338533675 + ... + 338534383.

It is an arithmetic number, because the mean of its divisors is an integer number (26745331627).

Almost surely, 2^240020626561 is an apocalyptic number.

240020626561 is the 489919-th square number.

240020626561 is the 244960-th centered octagonal number.

It is an amenable number.

240020626561 is a deficient number, since it is larger than the sum of its proper divisors (687358082).

240020626561 is an frugal number, since it uses more digits than its factorization.

240020626561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 240020626561 in words is "two hundred forty billion, twenty million, six hundred twenty-six thousand, five hundred sixty-one".