257201454476361 has 8 divisors (see below), whose sum is σ = 342947607216480. Its totient is φ = 171461469026912.

The previous prime is 257201454476357. The next prime is 257201454476383. The reversal of 257201454476361 is 163674454102752.

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

It is a cyclic number.

It is not a de Polignac number, because 257201454476361 - 2² = 257201454476357 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257201454476861) 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 7 ways as a sum of consecutive naturals, for example, 1541725356 + ... + 1541892173.

It is an arithmetic number, because the mean of its divisors is an integer number (42868450902060).

Almost surely, 2^{257201454476361} is an apocalyptic number.

It is an amenable number.

257201454476361 is a deficient number, since it is larger than the sum of its proper divisors (85746152740119).

257201454476361 is a wasteful number, since it uses less digits than its factorization.

257201454476361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083645335.

The product of its (nonzero) digits is 33868800, while the sum is 57.

The spelling of 257201454476361 in words is "two hundred fifty-seven trillion, two hundred one billion, four hundred fifty-four million, four hundred seventy-six thousand, three hundred sixty-one".