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257361122325 = 35219931721767
BaseRepresentation
bin1110111110101111101…
…0110001010000010101
3220121021221100121121110
43233223322301100111
513204033421403300
6314121410005233
724410435305536
oct3575372612025
9817257317543
10257361122325
119a16770a41a
1241a65876819
131b366143688
14c6562d268d
156a641b7550
hex3bebeb1415

257361122325 has 24 divisors (see below), whose sum is σ = 425717468608. Its totient is φ = 137190314880.

The previous prime is 257361122323. The next prime is 257361122329. The reversal of 257361122325 is 523221163752.

It is not a de Polignac number, because 257361122325 - 21 = 257361122323 is a prime.

It is a super-2 number, since 2×2573611223252 (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 (257361122323) 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, 711409 + ... + 1010358.

Almost surely, 2257361122325 is an apocalyptic number.

257361122325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257361122325 is a deficient number, since it is larger than the sum of its proper divisors (168356346283).

257361122325 is a wasteful number, since it uses less digits than its factorization.

257361122325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723773 (or 1723768 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The spelling of 257361122325 in words is "two hundred fifty-seven billion, three hundred sixty-one million, one hundred twenty-two thousand, three hundred twenty-five".

Divisors: 1 3 5 15 25 75 1993 5979 9965 29895 49825 149475 1721767 5165301 8608835 25826505 43044175 129132525 3431481631 10294444893 17157408155 51472224465 85787040775 257361122325