259544040381 has 24 divisors (see below), whose sum is σ = 398683167480. Its totient is φ = 162140000256.

The previous prime is 259544040337. The next prime is 259544040403. The reversal of 259544040381 is 183040445952.

259544040381 is a `hidden beast` number, since 2 + 5 + 95 + 440 + 40 + 3 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42070112100 + 217473928281 = 205110^2 + 466341^2 .

It is not a de Polignac number, because 259544040381 - 2²² = 259539846077 is a prime.

It is a super-2 number, since 2×259544040381² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259544040781) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3668820 + ... + 3738893.

It is an arithmetic number, because the mean of its divisors is an integer number (16611798645).

Almost surely, 2^259544040381 is an apocalyptic number.

It is an amenable number.

259544040381 is a deficient number, since it is larger than the sum of its proper divisors (139139127099).

259544040381 is a wasteful number, since it uses less digits than its factorization.

259544040381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7407965 (or 7407962 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 259544040381 in words is "two hundred fifty-nine billion, five hundred forty-four million, forty thousand, three hundred eighty-one".