257172417509 has 8 divisors (see below), whose sum is σ = 293946764928. Its totient is φ = 220406927760.

The previous prime is 257172417479. The next prime is 257172417521. The reversal of 257172417509 is 905714271752.

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 257172417509 - 2¹² = 257172413413 is a prime.

It is a super-2 number, since 2×257172417509² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257172417529) 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, 2152082 + ... + 2268435.

It is an arithmetic number, because the mean of its divisors is an integer number (36743345616).

Almost surely, 2^257172417509 is an apocalyptic number.

It is an amenable number.

257172417509 is a deficient number, since it is larger than the sum of its proper divisors (36774347419).

257172417509 is an equidigital number, since it uses as much as digits as its factorization.

257172417509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4428835.

The product of its (nonzero) digits is 1234800, while the sum is 50.

The spelling of 257172417509 in words is "two hundred fifty-seven billion, one hundred seventy-two million, four hundred seventeen thousand, five hundred nine".