259670757241 has 9 divisors (see below), whose sum is σ = 302070132399. Its totient is φ = 222571877304.

The previous prime is 259670757211. The next prime is 259670757257. The reversal of 259670757241 is 142757076952.

The square root of 259670757241 is 509579.

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., 154956386025 + 104714371216 = 393645^2 + 323596^2 .

It is not a de Polignac number, because 259670757241 - 2⁷ = 259670757113 is a prime.

It is a super-2 number, since 2×259670757241² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (259670757211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3530655 + ... + 3603451.

Almost surely, 2^259670757241 is an apocalyptic number.

259670757241 is the 509579-th square number.

259670757241 is the 254790-th centered octagonal number.

It is an amenable number.

259670757241 is a deficient number, since it is larger than the sum of its proper divisors (42399375158).

259670757241 is an frugal number, since it uses more digits than its factorization.

259670757241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145608 (or 72804 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 55.

The spelling of 259670757241 in words is "two hundred fifty-nine billion, six hundred seventy million, seven hundred fifty-seven thousand, two hundred forty-one".