257519373122 has 18 divisors (see below), whose sum is σ = 424600742937. Its totient is φ = 117050672200.

The previous prime is 257519373121. The next prime is 257519373131. The reversal of 257519373122 is 221373915752.

It can be written as a sum of positive squares in 2 ways, for example, as 255135101881 + 2384271241 = 505109^2 + 48829^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=358831.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257519373121) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7877972 + ... + 7910592.

Almost surely, 2^257519373122 is an apocalyptic number.

257519373122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

257519373122 is a deficient number, since it is larger than the sum of its proper divisors (167081369815).

257519373122 is an frugal number, since it uses more digits than its factorization.

257519373122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65266 (or 32634 counting only the distinct ones).

The product of its digits is 793800, while the sum is 47.

The spelling of 257519373122 in words is "two hundred fifty-seven billion, five hundred nineteen million, three hundred seventy-three thousand, one hundred twenty-two".