2559246921 has 135 divisors (see below), whose sum is σ = 4956177303. Its totient is φ = 1311266880.

The previous prime is 2559246913. The next prime is 2559246923. The reversal of 2559246921 is 1296429552.

The square root of 2559246921 is 50589.

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

2559246921 is a `hidden beast` number, since 2 + 559 + 2 + 4 + 6 + 92 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1452753225 + 1106493696 = 38115^2 + 33264^2 .

It is not a de Polignac number, because 2559246921 - 2³ = 2559246913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2559246923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 35058141 + ... + 35058213.

Almost surely, 2^2559246921 is an apocalyptic number.

2559246921 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2559246921 is the 50589-th square number.

2559246921 is the 25295-th centered octagonal number.

It is an amenable number.

2559246921 is a deficient number, since it is larger than the sum of its proper divisors (2396930382).

2559246921 is an equidigital number, since it uses as much as digits as its factorization.

2559246921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 94 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The cubic root of 2559246921 is about 1367.8466038758.

The spelling of 2559246921 in words is "two billion, five hundred fifty-nine million, two hundred forty-six thousand, nine hundred twenty-one".