257616130226901 has 8 divisors (see below), whose sum is σ = 343488444411840. Its totient is φ = 171743951429952.

The previous prime is 257616130226879. The next prime is 257616130226911. The reversal of 257616130226901 is 109622031616752.

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

It is not a de Polignac number, because 257616130226901 - 2⁶ = 257616130226837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257616130226911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29320660 + ... + 37080093.

It is an arithmetic number, because the mean of its divisors is an integer number (42936055551480).

Almost surely, 2^{257616130226901} is an apocalyptic number.

It is an amenable number.

257616130226901 is a deficient number, since it is larger than the sum of its proper divisors (85872314184939).

257616130226901 is a wasteful number, since it uses less digits than its factorization.

257616130226901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67693995.

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 257616130226901 in words is "two hundred fifty-seven trillion, six hundred sixteen billion, one hundred thirty million, two hundred twenty-six thousand, nine hundred one".