257176638849025 has 24 divisors (see below), whose sum is σ = 366090368827904. Its totient is φ = 175558889376000.

The previous prime is 257176638848993. The next prime is 257176638849073. The reversal of 257176638849025 is 520948836671752.

It is not a de Polignac number, because 257176638849025 - 2⁵ = 257176638848993 is a prime.

It is a super-2 number, since 2×257176638849025² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3294985176 + ... + 3295063225.

It is a 2-persistent number, because it is pandigital, and so is 2⋅257176638849025 = 514353277698050, but 3⋅257176638849025 = 771529916547075 is not.

Almost surely, 2^{257176638849025} is an apocalyptic number.

257176638849025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257176638849025 is a deficient number, since it is larger than the sum of its proper divisors (108913729978879).

257176638849025 is a wasteful number, since it uses less digits than its factorization.

257176638849025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6590048641 (or 6590048636 counting only the distinct ones).

The product of its (nonzero) digits is 1219276800, while the sum is 73.

The spelling of 257176638849025 in words is "two hundred fifty-seven trillion, one hundred seventy-six billion, six hundred thirty-eight million, eight hundred forty-nine thousand, twenty-five".