259784915481 has 81 divisors (see below), whose sum is σ = 472923191871. Its totient is φ = 136956010464.

The previous prime is 259784915471. The next prime is 259784915497. The reversal of 259784915481 is 184519487952.

The square root of 259784915481 is 509691.

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

259784915481 is a `hidden beast` number, since 2 + 5 + 9 + 7 + 84 + 9 + 1 + 548 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38429721225 + 221355194256 = 196035^2 + 470484^2 .

It is not a de Polignac number, because 259784915481 - 2⁵ = 259784915449 is a prime.

It is a super-2 number, since 2×259784915481² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (29030400) is a multiple of the sum of its prime divisors (1890).

It is not an unprimeable number, because it can be changed into a prime (259784915471) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 139144710 + ... + 139146576.

Almost surely, 2^259784915481 is an apocalyptic number.

259784915481 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

259784915481 is the 509691-st square number.

259784915481 is the 254846-th centered octagonal number.

It is an amenable number.

259784915481 is a deficient number, since it is larger than the sum of its proper divisors (213138276390).

259784915481 is an equidigital number, since it uses as much as digits as its factorization.

259784915481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3780 (or 1890 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 63.

The spelling of 259784915481 in words is "two hundred fifty-nine billion, seven hundred eighty-four million, nine hundred fifteen thousand, four hundred eighty-one".