257172221300325 has 24 divisors (see below), whose sum is σ = 428539369724928. Its totient is φ = 136078529690880.

The previous prime is 257172221300243. The next prime is 257172221300329. The reversal of 257172221300325 is 523003122271752.

It is a happy number.

It is not a de Polignac number, because 257172221300325 - 2⁹ = 257172221299813 is a prime.

It is a super-2 number, since 2×257172221300325² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257172221300329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13499844612 + ... + 13499863661.

It is an arithmetic number, because the mean of its divisors is an integer number (17855807071872).

Almost surely, 2^{257172221300325} is an apocalyptic number.

257172221300325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257172221300325 is a deficient number, since it is larger than the sum of its proper divisors (171367148424603).

257172221300325 is a wasteful number, since it uses less digits than its factorization.

257172221300325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26999708413 (or 26999708408 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 257172221300325 in words is "two hundred fifty-seven trillion, one hundred seventy-two billion, two hundred twenty-one million, three hundred thousand, three hundred twenty-five".