257961070527049 has 8 divisors (see below), whose sum is σ = 268196875658208. Its totient is φ = 247913078334240.

The previous prime is 257961070526983. The next prime is 257961070527151. The reversal of 257961070527049 is 940725070169752.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257961070527049 is a prime.

It is a super-2 number, since 2×257961070527049² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257961070527449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46953231787 + ... + 46953237280.

It is an arithmetic number, because the mean of its divisors is an integer number (33524609457276).

Almost surely, 2^{257961070527049} is an apocalyptic number.

It is an amenable number.

257961070527049 is a deficient number, since it is larger than the sum of its proper divisors (10235805131159).

257961070527049 is an equidigital number, since it uses as much as digits as its factorization.

257961070527049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93906469175.

The product of its (nonzero) digits is 66679200, while the sum is 64.

The spelling of 257961070527049 in words is "two hundred fifty-seven trillion, nine hundred sixty-one billion, seventy million, five hundred twenty-seven thousand, forty-nine".