259303989961 has 9 divisors (see below), whose sum is σ = 273680073543. Its totient is φ = 245647245600.

The previous prime is 259303989887. The next prime is 259303990031. The reversal of 259303989961 is 169989303952.

The square root of 259303989961 is 509219.

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., 83944052361 + 175359937600 = 289731^2 + 418760^2 .

It is not a de Polignac number, because 259303989961 - 2²¹ = 259301892809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 259303989893 and 259303989902.

It is not an unprimeable number, because it can be changed into a prime (259303989361) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9661761 + ... + 9688561.

Almost surely, 2^259303989961 is an apocalyptic number.

259303989961 is the 509219-th square number.

259303989961 is the 254610-th centered octagonal number.

It is an amenable number.

259303989961 is a deficient number, since it is larger than the sum of its proper divisors (14376083582).

259303989961 is an frugal number, since it uses more digits than its factorization.

259303989961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53640 (or 26820 counting only the distinct ones).

The product of its (nonzero) digits is 28343520, while the sum is 64.

Multiplying 259303989961 by its sum of digits (64), we get a square (16595455357504 = 4073752²).

The spelling of 259303989961 in words is "two hundred fifty-nine billion, three hundred three million, nine hundred eighty-nine thousand, nine hundred sixty-one".