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313001325 = 325271315287
BaseRepresentation
bin10010101010000…
…000010101101101
3210210222010002200
4102222000111231
51120112020300
651020412113
710520316210
oct2252002555
9723863080
10313001325
1115075458a
12889a7039
134cb007b0
142d7d9777
151c72b200
hex12a8056d

313001325 has 72 divisors (see below), whose sum is σ = 690039168. Its totient is φ = 132071040.

The previous prime is 313001303. The next prime is 313001333. The reversal of 313001325 is 523100313.

It is not a de Polignac number, because 313001325 - 26 = 313001261 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313001298 and 313001307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12832 + ... + 28118.

Almost surely, 2313001325 is an apocalyptic number.

313001325 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

313001325 is an abundant number, since it is smaller than the sum of its proper divisors (377037843).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313001325 is a wasteful number, since it uses less digits than its factorization.

313001325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15323 (or 15315 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 313001325 is about 17691.8434596285. The cubic root of 313001325 is about 678.9670917149.

Adding to 313001325 its reverse (523100313), we get a palindrome (836101638).

The spelling of 313001325 in words is "three hundred thirteen million, one thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 35 39 45 63 65 75 91 105 117 175 195 225 273 315 325 455 525 585 819 975 1365 1575 2275 2925 4095 6825 15287 20475 45861 76435 107009 137583 198731 229305 321027 382175 535045 596193 687915 963081 993655 1146525 1391117 1605135 1788579 2675225 2980965 3439575 4173351 4815405 4968275 6955585 8025675 8942895 12520053 14904825 20866755 24077025 34777925 44714475 62600265 104333775 313001325